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Finding the Fourth Proportional to 47,478.80, 71,234.70 and 17,905.16

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Solution

The fourth proportional to 47,478.80, 71,234.70 and 17,905.16 is: 26,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,478.80 : 71,234.70 = 17,905.16 : x
  2. Step 2: Convert to fraction form
    47,478.80/71,234.70 = 17,905.16/x
  3. Step 3: Cross multiply
    47,478.80x = 71,234.70 × 17,905.16
  4. Step 4: Simplify right side
    47,478.80x = 1,275,468,701.05
  5. Step 5: Solve for x
    x = 1,275,468,701.05/47,478.80
  6. Step 6: Final answer
    x = 26,863.96

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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.