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Finding the Fourth Proportional to 85,407.60, 128,161.32 and 61,691.76

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Solution

The fourth proportional to 85,407.60, 128,161.32 and 61,691.76 is: 92,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,407.60 : 128,161.32 = 61,691.76 : x
  2. Step 2: Convert to fraction form
    85,407.60/128,161.32 = 61,691.76/x
  3. Step 3: Cross multiply
    85,407.60x = 128,161.32 × 61,691.76
  4. Step 4: Simplify right side
    85,407.60x = 7,906,497,394.72
  5. Step 5: Solve for x
    x = 7,906,497,394.72/85,407.60
  6. Step 6: Final answer
    x = 92,573.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.