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Finding the Fourth Proportional to 83,720.86, 126,156.82 and 69,253.86

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Solution

The fourth proportional to 83,720.86, 126,156.82 and 69,253.86 is: 104,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,720.86 : 126,156.82 = 69,253.86 : x
  2. Step 2: Convert to fraction form
    83,720.86/126,156.82 = 69,253.86/x
  3. Step 3: Cross multiply
    83,720.86x = 126,156.82 × 69,253.86
  4. Step 4: Simplify right side
    83,720.86x = 8,736,846,750.33
  5. Step 5: Solve for x
    x = 8,736,846,750.33/83,720.86
  6. Step 6: Final answer
    x = 104,356.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.