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Finding the Fourth Proportional to 231,748, 319,812.24 and 125,764

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Solution

The fourth proportional to 231,748, 319,812.24 and 125,764 is: 173,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,748 : 319,812.24 = 125,764 : x
  2. Step 2: Convert to fraction form
    231,748/319,812.24 = 125,764/x
  3. Step 3: Cross multiply
    231,748x = 319,812.24 × 125,764
  4. Step 4: Simplify right side
    231,748x = 40,220,866,551.36
  5. Step 5: Solve for x
    x = 40,220,866,551.36/231,748
  6. Step 6: Final answer
    x = 173,554.32

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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.