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Finding the Fourth Proportional to 81,630.80, 122,511.72 and 42,199.40

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Solution

The fourth proportional to 81,630.80, 122,511.72 and 42,199.40 is: 63,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,630.80 : 122,511.72 = 42,199.40 : x
  2. Step 2: Convert to fraction form
    81,630.80/122,511.72 = 42,199.40/x
  3. Step 3: Cross multiply
    81,630.80x = 122,511.72 × 42,199.40
  4. Step 4: Simplify right side
    81,630.80x = 5,169,921,076.97
  5. Step 5: Solve for x
    x = 5,169,921,076.97/81,630.80
  6. Step 6: Final answer
    x = 63,332.97

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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.