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Finding the Fourth Proportional to 128,682.30, 193,023.45 and 86,691.90

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Solution

The fourth proportional to 128,682.30, 193,023.45 and 86,691.90 is: 130,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,682.30 : 193,023.45 = 86,691.90 : x
  2. Step 2: Convert to fraction form
    128,682.30/193,023.45 = 86,691.90/x
  3. Step 3: Cross multiply
    128,682.30x = 193,023.45 × 86,691.90
  4. Step 4: Simplify right side
    128,682.30x = 16,733,569,625.06
  5. Step 5: Solve for x
    x = 16,733,569,625.06/128,682.30
  6. Step 6: Final answer
    x = 130,037.85

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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.