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Finding the Fourth Proportional to 92,727.60, 127,954.68 and 56,919.12

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Solution

The fourth proportional to 92,727.60, 127,954.68 and 56,919.12 is: 78,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,727.60 : 127,954.68 = 56,919.12 : x
  2. Step 2: Convert to fraction form
    92,727.60/127,954.68 = 56,919.12/x
  3. Step 3: Cross multiply
    92,727.60x = 127,954.68 × 56,919.12
  4. Step 4: Simplify right side
    92,727.60x = 7,283,067,785.48
  5. Step 5: Solve for x
    x = 7,283,067,785.48/92,727.60
  6. Step 6: Final answer
    x = 78,542.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.