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Finding the Fourth Proportional to 254,869.73, 382,302.92 and 86,508.62

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Solution

The fourth proportional to 254,869.73, 382,302.92 and 86,508.62 is: 129,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,869.73 : 382,302.92 = 86,508.62 : x
  2. Step 2: Convert to fraction form
    254,869.73/382,302.92 = 86,508.62/x
  3. Step 3: Cross multiply
    254,869.73x = 382,302.92 × 86,508.62
  4. Step 4: Simplify right side
    254,869.73x = 33,072,495,687.11
  5. Step 5: Solve for x
    x = 33,072,495,687.11/254,869.73
  6. Step 6: Final answer
    x = 129,762.35

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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.