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Finding the Fourth Proportional to 81,658.40, 122,488.16 and 22,497.28

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Solution

The fourth proportional to 81,658.40, 122,488.16 and 22,497.28 is: 33,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658.40 : 122,488.16 = 22,497.28 : x
  2. Step 2: Convert to fraction form
    81,658.40/122,488.16 = 22,497.28/x
  3. Step 3: Cross multiply
    81,658.40x = 122,488.16 × 22,497.28
  4. Step 4: Simplify right side
    81,658.40x = 2,755,650,432.20
  5. Step 5: Solve for x
    x = 2,755,650,432.20/81,658.40
  6. Step 6: Final answer
    x = 33,746.07

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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.