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Finding the Fourth Proportional to 82,709.20, 124,027.80 and 38,321.20

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Solution

The fourth proportional to 82,709.20, 124,027.80 and 38,321.20 is: 57,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,709.20 : 124,027.80 = 38,321.20 : x
  2. Step 2: Convert to fraction form
    82,709.20/124,027.80 = 38,321.20/x
  3. Step 3: Cross multiply
    82,709.20x = 124,027.80 × 38,321.20
  4. Step 4: Simplify right side
    82,709.20x = 4,752,894,129.36
  5. Step 5: Solve for x
    x = 4,752,894,129.36/82,709.20
  6. Step 6: Final answer
    x = 57,465.12

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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.