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Finding the Fourth Proportional to 231,693.91, 319,663.24 and 129,704.35

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Solution

The fourth proportional to 231,693.91, 319,663.24 and 129,704.35 is: 178,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,693.91 : 319,663.24 = 129,704.35 : x
  2. Step 2: Convert to fraction form
    231,693.91/319,663.24 = 129,704.35/x
  3. Step 3: Cross multiply
    231,693.91x = 319,663.24 × 129,704.35
  4. Step 4: Simplify right side
    231,693.91x = 41,461,712,763.09
  5. Step 5: Solve for x
    x = 41,461,712,763.09/231,693.91
  6. Step 6: Final answer
    x = 178,950.38

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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.