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Finding the Fourth Proportional to 231,690.66, 319,658.76 and 129,701.10

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Solution

The fourth proportional to 231,690.66, 319,658.76 and 129,701.10 is: 178,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,690.66 : 319,658.76 = 129,701.10 : x
  2. Step 2: Convert to fraction form
    231,690.66/319,658.76 = 129,701.10/x
  3. Step 3: Cross multiply
    231,690.66x = 319,658.76 × 129,701.10
  4. Step 4: Simplify right side
    231,690.66x = 41,460,092,796.64
  5. Step 5: Solve for x
    x = 41,460,092,796.64/231,690.66
  6. Step 6: Final answer
    x = 178,945.90

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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.