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Finding the Fourth Proportional to 231,322.86, 319,207.86 and 140,666.31

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Solution

The fourth proportional to 231,322.86, 319,207.86 and 140,666.31 is: 194,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,322.86 : 319,207.86 = 140,666.31 : x
  2. Step 2: Convert to fraction form
    231,322.86/319,207.86 = 140,666.31/x
  3. Step 3: Cross multiply
    231,322.86x = 319,207.86 × 140,666.31
  4. Step 4: Simplify right side
    231,322.86x = 44,901,791,789.20
  5. Step 5: Solve for x
    x = 44,901,791,789.20/231,322.86
  6. Step 6: Final answer
    x = 194,108.75

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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.