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Finding the Fourth Proportional to 42,187.76, 63,288.48 and 15,894.80

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Solution

The fourth proportional to 42,187.76, 63,288.48 and 15,894.80 is: 23,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,187.76 : 63,288.48 = 15,894.80 : x
  2. Step 2: Convert to fraction form
    42,187.76/63,288.48 = 15,894.80/x
  3. Step 3: Cross multiply
    42,187.76x = 63,288.48 × 15,894.80
  4. Step 4: Simplify right side
    42,187.76x = 1,005,957,731.90
  5. Step 5: Solve for x
    x = 1,005,957,731.90/42,187.76
  6. Step 6: Final answer
    x = 23,844.78

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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.