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Finding the Fourth Proportional to 47,655, 71,487.36 and 16,490.16

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Solution

The fourth proportional to 47,655, 71,487.36 and 16,490.16 is: 24,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,655 : 71,487.36 = 16,490.16 : x
  2. Step 2: Convert to fraction form
    47,655/71,487.36 = 16,490.16/x
  3. Step 3: Cross multiply
    47,655x = 71,487.36 × 16,490.16
  4. Step 4: Simplify right side
    47,655x = 1,178,838,004.38
  5. Step 5: Solve for x
    x = 1,178,838,004.38/47,655
  6. Step 6: Final answer
    x = 24,736.92

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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.