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Finding the Fourth Proportional to 231,569, 319,565.22 and 130,964.84

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Solution

The fourth proportional to 231,569, 319,565.22 and 130,964.84 is: 180,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,569 : 319,565.22 = 130,964.84 : x
  2. Step 2: Convert to fraction form
    231,569/319,565.22 = 130,964.84/x
  3. Step 3: Cross multiply
    231,569x = 319,565.22 × 130,964.84
  4. Step 4: Simplify right side
    231,569x = 41,851,807,906.86
  5. Step 5: Solve for x
    x = 41,851,807,906.86/231,569
  6. Step 6: Final answer
    x = 180,731.48

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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.