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Finding the Fourth Proportional to 85,691.76, 128,541.32 and 26,528.52

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Solution

The fourth proportional to 85,691.76, 128,541.32 and 26,528.52 is: 39,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,691.76 : 128,541.32 = 26,528.52 : x
  2. Step 2: Convert to fraction form
    85,691.76/128,541.32 = 26,528.52/x
  3. Step 3: Cross multiply
    85,691.76x = 128,541.32 × 26,528.52
  4. Step 4: Simplify right side
    85,691.76x = 3,410,010,978.45
  5. Step 5: Solve for x
    x = 3,410,010,978.45/85,691.76
  6. Step 6: Final answer
    x = 39,793.92

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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.