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Finding the Fourth Proportional to 83,782.71, 125,672.96 and 20,603.38

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Solution

The fourth proportional to 83,782.71, 125,672.96 and 20,603.38 is: 30,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782.71 : 125,672.96 = 20,603.38 : x
  2. Step 2: Convert to fraction form
    83,782.71/125,672.96 = 20,603.38/x
  3. Step 3: Cross multiply
    83,782.71x = 125,672.96 × 20,603.38
  4. Step 4: Simplify right side
    83,782.71x = 2,589,287,750.60
  5. Step 5: Solve for x
    x = 2,589,287,750.60/83,782.71
  6. Step 6: Final answer
    x = 30,904.80

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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.