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Finding the Fourth Proportional to 231,756, 319,823.28 and 125,772

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Solution

The fourth proportional to 231,756, 319,823.28 and 125,772 is: 173,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,756 : 319,823.28 = 125,772 : x
  2. Step 2: Convert to fraction form
    231,756/319,823.28 = 125,772/x
  3. Step 3: Cross multiply
    231,756x = 319,823.28 × 125,772
  4. Step 4: Simplify right side
    231,756x = 40,224,813,572.16
  5. Step 5: Solve for x
    x = 40,224,813,572.16/231,756
  6. Step 6: Final answer
    x = 173,565.36

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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.