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Finding the Fourth Proportional to 147,219.20, 220,828.80 and 36,411.20

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Solution

The fourth proportional to 147,219.20, 220,828.80 and 36,411.20 is: 54,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,219.20 : 220,828.80 = 36,411.20 : x
  2. Step 2: Convert to fraction form
    147,219.20/220,828.80 = 36,411.20/x
  3. Step 3: Cross multiply
    147,219.20x = 220,828.80 × 36,411.20
  4. Step 4: Simplify right side
    147,219.20x = 8,040,641,602.56
  5. Step 5: Solve for x
    x = 8,040,641,602.56/147,219.20
  6. Step 6: Final answer
    x = 54,616.80

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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.