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Finding the Fourth Proportional to 92,909.83, 138,662.64 and 83,941.78

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Solution

The fourth proportional to 92,909.83, 138,662.64 and 83,941.78 is: 125,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,909.83 : 138,662.64 = 83,941.78 : x
  2. Step 2: Convert to fraction form
    92,909.83/138,662.64 = 83,941.78/x
  3. Step 3: Cross multiply
    92,909.83x = 138,662.64 × 83,941.78
  4. Step 4: Simplify right side
    92,909.83x = 11,639,587,708.08
  5. Step 5: Solve for x
    x = 11,639,587,708.08/92,909.83
  6. Step 6: Final answer
    x = 125,278.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.