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Finding the Fourth Proportional to 172,115.20, 257,952.89 and 138,850.93

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Solution

The fourth proportional to 172,115.20, 257,952.89 and 138,850.93 is: 208,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,115.20 : 257,952.89 = 138,850.93 : x
  2. Step 2: Convert to fraction form
    172,115.20/257,952.89 = 138,850.93/x
  3. Step 3: Cross multiply
    172,115.20x = 257,952.89 × 138,850.93
  4. Step 4: Simplify right side
    172,115.20x = 35,816,997,978.43
  5. Step 5: Solve for x
    x = 35,816,997,978.43/172,115.20
  6. Step 6: Final answer
    x = 208,098.98

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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.