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Finding the Fourth Proportional to 83,706.88, 125,564.64 and 21,377.92

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Solution

The fourth proportional to 83,706.88, 125,564.64 and 21,377.92 is: 32,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,706.88 : 125,564.64 = 21,377.92 : x
  2. Step 2: Convert to fraction form
    83,706.88/125,564.64 = 21,377.92/x
  3. Step 3: Cross multiply
    83,706.88x = 125,564.64 × 21,377.92
  4. Step 4: Simplify right side
    83,706.88x = 2,684,310,828.75
  5. Step 5: Solve for x
    x = 2,684,310,828.75/83,706.88
  6. Step 6: Final answer
    x = 32,067.98

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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.