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Finding the Fourth Proportional to 231,332.45, 319,115.69 and 140,716.13

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Solution

The fourth proportional to 231,332.45, 319,115.69 and 140,716.13 is: 194,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,332.45 : 319,115.69 = 140,716.13 : x
  2. Step 2: Convert to fraction form
    231,332.45/319,115.69 = 140,716.13/x
  3. Step 3: Cross multiply
    231,332.45x = 319,115.69 × 140,716.13
  4. Step 4: Simplify right side
    231,332.45x = 44,904,724,215.50
  5. Step 5: Solve for x
    x = 44,904,724,215.50/231,332.45
  6. Step 6: Final answer
    x = 194,113.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.