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Finding the Fourth Proportional to 171,765.27, 257,385.15 and 91,814.61

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Solution

The fourth proportional to 171,765.27, 257,385.15 and 91,814.61 is: 137,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,765.27 : 257,385.15 = 91,814.61 : x
  2. Step 2: Convert to fraction form
    171,765.27/257,385.15 = 91,814.61/x
  3. Step 3: Cross multiply
    171,765.27x = 257,385.15 × 91,814.61
  4. Step 4: Simplify right side
    171,765.27x = 23,631,717,167.04
  5. Step 5: Solve for x
    x = 23,631,717,167.04/171,765.27
  6. Step 6: Final answer
    x = 137,581.46

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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.