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Finding the Fourth Proportional to 231,730, 319,787.40 and 125,746

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Solution

The fourth proportional to 231,730, 319,787.40 and 125,746 is: 173,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,730 : 319,787.40 = 125,746 : x
  2. Step 2: Convert to fraction form
    231,730/319,787.40 = 125,746/x
  3. Step 3: Cross multiply
    231,730x = 319,787.40 × 125,746
  4. Step 4: Simplify right side
    231,730x = 40,211,986,400.40
  5. Step 5: Solve for x
    x = 40,211,986,400.40/231,730
  6. Step 6: Final answer
    x = 173,529.48

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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.