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Finding the Fourth Proportional to 83,689.44, 126,109.86 and 69,223.92

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Solution

The fourth proportional to 83,689.44, 126,109.86 and 69,223.92 is: 104,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,689.44 : 126,109.86 = 69,223.92 : x
  2. Step 2: Convert to fraction form
    83,689.44/126,109.86 = 69,223.92/x
  3. Step 3: Cross multiply
    83,689.44x = 126,109.86 × 69,223.92
  4. Step 4: Simplify right side
    83,689.44x = 8,729,818,859.85
  5. Step 5: Solve for x
    x = 8,729,818,859.85/83,689.44
  6. Step 6: Final answer
    x = 104,312.07

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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.