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Finding the Fourth Proportional to 137,287.05, 205,950.13 and 42,524.68

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Solution

The fourth proportional to 137,287.05, 205,950.13 and 42,524.68 is: 63,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,287.05 : 205,950.13 = 42,524.68 : x
  2. Step 2: Convert to fraction form
    137,287.05/205,950.13 = 42,524.68/x
  3. Step 3: Cross multiply
    137,287.05x = 205,950.13 × 42,524.68
  4. Step 4: Simplify right side
    137,287.05x = 8,757,962,884.15
  5. Step 5: Solve for x
    x = 8,757,962,884.15/137,287.05
  6. Step 6: Final answer
    x = 63,793.08

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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.