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Finding the Fourth Proportional to 92,407.59, 137,942.91 and 81,197.55

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Solution

The fourth proportional to 92,407.59, 137,942.91 and 81,197.55 is: 121,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,407.59 : 137,942.91 = 81,197.55 : x
  2. Step 2: Convert to fraction form
    92,407.59/137,942.91 = 81,197.55/x
  3. Step 3: Cross multiply
    92,407.59x = 137,942.91 × 81,197.55
  4. Step 4: Simplify right side
    92,407.59x = 11,200,626,331.87
  5. Step 5: Solve for x
    x = 11,200,626,331.87/92,407.59
  6. Step 6: Final answer
    x = 121,208.94

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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.