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Finding the Fourth Proportional to 42,372, 63,529.92 and 20,188.80

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Solution

The fourth proportional to 42,372, 63,529.92 and 20,188.80 is: 30,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,372 : 63,529.92 = 20,188.80 : x
  2. Step 2: Convert to fraction form
    42,372/63,529.92 = 20,188.80/x
  3. Step 3: Cross multiply
    42,372x = 63,529.92 × 20,188.80
  4. Step 4: Simplify right side
    42,372x = 1,282,592,848.90
  5. Step 5: Solve for x
    x = 1,282,592,848.90/42,372
  6. Step 6: Final answer
    x = 30,269.82

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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.