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Finding the Fourth Proportional to 231,749, 319,813.62 and 125,765

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Solution

The fourth proportional to 231,749, 319,813.62 and 125,765 is: 173,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,749 : 319,813.62 = 125,765 : x
  2. Step 2: Convert to fraction form
    231,749/319,813.62 = 125,765/x
  3. Step 3: Cross multiply
    231,749x = 319,813.62 × 125,765
  4. Step 4: Simplify right side
    231,749x = 40,221,359,919.30
  5. Step 5: Solve for x
    x = 40,221,359,919.30/231,749
  6. Step 6: Final answer
    x = 173,555.70

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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.