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Finding the Fourth Proportional to 42,305.54, 63,463.90 and 15,647.90

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Solution

The fourth proportional to 42,305.54, 63,463.90 and 15,647.90 is: 23,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,305.54 : 63,463.90 = 15,647.90 : x
  2. Step 2: Convert to fraction form
    42,305.54/63,463.90 = 15,647.90/x
  3. Step 3: Cross multiply
    42,305.54x = 63,463.90 × 15,647.90
  4. Step 4: Simplify right side
    42,305.54x = 993,076,760.81
  5. Step 5: Solve for x
    x = 993,076,760.81/42,305.54
  6. Step 6: Final answer
    x = 23,473.92

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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.