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Finding the Fourth Proportional to 158,682,940.80, 238,024,411.20 and 147,203,815.20

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Solution

The fourth proportional to 158,682,940.80, 238,024,411.20 and 147,203,815.20 is: 220,805,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,682,940.80 : 238,024,411.20 = 147,203,815.20 : x
  2. Step 2: Convert to fraction form
    158,682,940.80/238,024,411.20 = 147,203,815.20/x
  3. Step 3: Cross multiply
    158,682,940.80x = 238,024,411.20 × 147,203,815.20
  4. Step 4: Simplify right side
    158,682,940.80x = 35,038,101,439,373,604
  5. Step 5: Solve for x
    x = 35,038,101,439,373,604/158,682,940.80
  6. Step 6: Final answer
    x = 220,805,722.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.