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Finding the Fourth Proportional to 102,856.55, 154,254.59 and 43,691.75

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Solution

The fourth proportional to 102,856.55, 154,254.59 and 43,691.75 is: 65,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,856.55 : 154,254.59 = 43,691.75 : x
  2. Step 2: Convert to fraction form
    102,856.55/154,254.59 = 43,691.75/x
  3. Step 3: Cross multiply
    102,856.55x = 154,254.59 × 43,691.75
  4. Step 4: Simplify right side
    102,856.55x = 6,739,652,764.17
  5. Step 5: Solve for x
    x = 6,739,652,764.17/102,856.55
  6. Step 6: Final answer
    x = 65,524.78

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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.