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Finding the Fourth Proportional to 147,808, 221,731.20 and 54,314.88

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Solution

The fourth proportional to 147,808, 221,731.20 and 54,314.88 is: 81,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,808 : 221,731.20 = 54,314.88 : x
  2. Step 2: Convert to fraction form
    147,808/221,731.20 = 54,314.88/x
  3. Step 3: Cross multiply
    147,808x = 221,731.20 × 54,314.88
  4. Step 4: Simplify right side
    147,808x = 12,043,303,520.26
  5. Step 5: Solve for x
    x = 12,043,303,520.26/147,808
  6. Step 6: Final answer
    x = 81,479.38

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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.