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Finding the Fourth Proportional to 83,704.86, 126,132.73 and 69,237.86

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Solution

The fourth proportional to 83,704.86, 126,132.73 and 69,237.86 is: 104,332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,704.86 : 126,132.73 = 69,237.86 : x
  2. Step 2: Convert to fraction form
    83,704.86/126,132.73 = 69,237.86/x
  3. Step 3: Cross multiply
    83,704.86x = 126,132.73 × 69,237.86
  4. Step 4: Simplify right side
    83,704.86x = 8,733,159,497.40
  5. Step 5: Solve for x
    x = 8,733,159,497.40/83,704.86
  6. Step 6: Final answer
    x = 104,332.77

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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.