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Finding the Fourth Proportional to 72,432, 108,663.36 and 22,510.80

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Solution

The fourth proportional to 72,432, 108,663.36 and 22,510.80 is: 33,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,432 : 108,663.36 = 22,510.80 : x
  2. Step 2: Convert to fraction form
    72,432/108,663.36 = 22,510.80/x
  3. Step 3: Cross multiply
    72,432x = 108,663.36 × 22,510.80
  4. Step 4: Simplify right side
    72,432x = 2,446,099,164.29
  5. Step 5: Solve for x
    x = 2,446,099,164.29/72,432
  6. Step 6: Final answer
    x = 33,770.97

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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.