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Finding the Fourth Proportional to 82,508.40, 123,742.78 and 38,092.50

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Solution

The fourth proportional to 82,508.40, 123,742.78 and 38,092.50 is: 57,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,508.40 : 123,742.78 = 38,092.50 : x
  2. Step 2: Convert to fraction form
    82,508.40/123,742.78 = 38,092.50/x
  3. Step 3: Cross multiply
    82,508.40x = 123,742.78 × 38,092.50
  4. Step 4: Simplify right side
    82,508.40x = 4,713,671,847.15
  5. Step 5: Solve for x
    x = 4,713,671,847.15/82,508.40
  6. Step 6: Final answer
    x = 57,129.60

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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.