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Finding the Fourth Proportional to 71,331, 106,528.12 and 57,312.34

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Solution

The fourth proportional to 71,331, 106,528.12 and 57,312.34 is: 85,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,331 : 106,528.12 = 57,312.34 : x
  2. Step 2: Convert to fraction form
    71,331/106,528.12 = 57,312.34/x
  3. Step 3: Cross multiply
    71,331x = 106,528.12 × 57,312.34
  4. Step 4: Simplify right side
    71,331x = 6,105,375,833.00
  5. Step 5: Solve for x
    x = 6,105,375,833.00/71,331
  6. Step 6: Final answer
    x = 85,592.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.