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Finding the Fourth Proportional to 139,838.48, 209,757.24 and 56,732.24

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Solution

The fourth proportional to 139,838.48, 209,757.24 and 56,732.24 is: 85,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,838.48 : 209,757.24 = 56,732.24 : x
  2. Step 2: Convert to fraction form
    139,838.48/209,757.24 = 56,732.24/x
  3. Step 3: Cross multiply
    139,838.48x = 209,757.24 × 56,732.24
  4. Step 4: Simplify right side
    139,838.48x = 11,899,998,081.42
  5. Step 5: Solve for x
    x = 11,899,998,081.42/139,838.48
  6. Step 6: Final answer
    x = 85,098.17

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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.