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Finding the Fourth Proportional to 83,888.40, 125,920 and 37,174.08

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Solution

The fourth proportional to 83,888.40, 125,920 and 37,174.08 is: 55,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,888.40 : 125,920 = 37,174.08 : x
  2. Step 2: Convert to fraction form
    83,888.40/125,920 = 37,174.08/x
  3. Step 3: Cross multiply
    83,888.40x = 125,920 × 37,174.08
  4. Step 4: Simplify right side
    83,888.40x = 4,680,960,153.60
  5. Step 5: Solve for x
    x = 4,680,960,153.60/83,888.40
  6. Step 6: Final answer
    x = 55,799.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.