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Finding the Fourth Proportional to 42,155.80, 63,234.78 and 19,963.96

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Solution

The fourth proportional to 42,155.80, 63,234.78 and 19,963.96 is: 29,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,155.80 : 63,234.78 = 19,963.96 : x
  2. Step 2: Convert to fraction form
    42,155.80/63,234.78 = 19,963.96/x
  3. Step 3: Cross multiply
    42,155.80x = 63,234.78 × 19,963.96
  4. Step 4: Simplify right side
    42,155.80x = 1,262,416,618.53
  5. Step 5: Solve for x
    x = 1,262,416,618.53/42,155.80
  6. Step 6: Final answer
    x = 29,946.45

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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.