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Finding the Fourth Proportional to 83,461.92, 125,215.64 and 30,160.16

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Solution

The fourth proportional to 83,461.92, 125,215.64 and 30,160.16 is: 45,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,461.92 : 125,215.64 = 30,160.16 : x
  2. Step 2: Convert to fraction form
    83,461.92/125,215.64 = 30,160.16/x
  3. Step 3: Cross multiply
    83,461.92x = 125,215.64 × 30,160.16
  4. Step 4: Simplify right side
    83,461.92x = 3,776,523,736.90
  5. Step 5: Solve for x
    x = 3,776,523,736.90/83,461.92
  6. Step 6: Final answer
    x = 45,248.46

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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.