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Finding the Fourth Proportional to 82,686.90, 123,956.50 and 30,059.31

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Solution

The fourth proportional to 82,686.90, 123,956.50 and 30,059.31 is: 45,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,686.90 : 123,956.50 = 30,059.31 : x
  2. Step 2: Convert to fraction form
    82,686.90/123,956.50 = 30,059.31/x
  3. Step 3: Cross multiply
    82,686.90x = 123,956.50 × 30,059.31
  4. Step 4: Simplify right side
    82,686.90x = 3,726,046,165.08
  5. Step 5: Solve for x
    x = 3,726,046,165.08/82,686.90
  6. Step 6: Final answer
    x = 45,062.11

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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.