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Finding the Fourth Proportional to 231,687.64, 319,702.62 and 129,698.92

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Solution

The fourth proportional to 231,687.64, 319,702.62 and 129,698.92 is: 178,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,687.64 : 319,702.62 = 129,698.92 : x
  2. Step 2: Convert to fraction form
    231,687.64/319,702.62 = 129,698.92/x
  3. Step 3: Cross multiply
    231,687.64x = 319,702.62 × 129,698.92
  4. Step 4: Simplify right side
    231,687.64x = 41,465,084,535.17
  5. Step 5: Solve for x
    x = 41,465,084,535.17/231,687.64
  6. Step 6: Final answer
    x = 178,969.77

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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.