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Finding the Fourth Proportional to 83,654.38, 115,428 and 47,355.58

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Solution

The fourth proportional to 83,654.38, 115,428 and 47,355.58 is: 65,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,654.38 : 115,428 = 47,355.58 : x
  2. Step 2: Convert to fraction form
    83,654.38/115,428 = 47,355.58/x
  3. Step 3: Cross multiply
    83,654.38x = 115,428 × 47,355.58
  4. Step 4: Simplify right side
    83,654.38x = 5,466,159,888.24
  5. Step 5: Solve for x
    x = 5,466,159,888.24/83,654.38
  6. Step 6: Final answer
    x = 65,342.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.