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Finding the Fourth Proportional to 82,755.48, 124,036 and 38,288.31

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Solution

The fourth proportional to 82,755.48, 124,036 and 38,288.31 is: 57,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,755.48 : 124,036 = 38,288.31 : x
  2. Step 2: Convert to fraction form
    82,755.48/124,036 = 38,288.31/x
  3. Step 3: Cross multiply
    82,755.48x = 124,036 × 38,288.31
  4. Step 4: Simplify right side
    82,755.48x = 4,749,128,819.16
  5. Step 5: Solve for x
    x = 4,749,128,819.16/82,755.48
  6. Step 6: Final answer
    x = 57,387.48

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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.