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Finding the Fourth Proportional to 231,732, 319,790.16 and 125,748

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Solution

The fourth proportional to 231,732, 319,790.16 and 125,748 is: 173,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,732 : 319,790.16 = 125,748 : x
  2. Step 2: Convert to fraction form
    231,732/319,790.16 = 125,748/x
  3. Step 3: Cross multiply
    231,732x = 319,790.16 × 125,748
  4. Step 4: Simplify right side
    231,732x = 40,212,973,039.68
  5. Step 5: Solve for x
    x = 40,212,973,039.68/231,732
  6. Step 6: Final answer
    x = 173,532.24

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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.