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Finding the Fourth Proportional to 83,865.92, 125,800.16 and 21,535.04

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Solution

The fourth proportional to 83,865.92, 125,800.16 and 21,535.04 is: 32,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,865.92 : 125,800.16 = 21,535.04 : x
  2. Step 2: Convert to fraction form
    83,865.92/125,800.16 = 21,535.04/x
  3. Step 3: Cross multiply
    83,865.92x = 125,800.16 × 21,535.04
  4. Step 4: Simplify right side
    83,865.92x = 2,709,111,477.61
  5. Step 5: Solve for x
    x = 2,709,111,477.61/83,865.92
  6. Step 6: Final answer
    x = 32,302.89

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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.