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Finding the Fourth Proportional to 81,085.56, 121,458.84 and 65,204.70

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Solution

The fourth proportional to 81,085.56, 121,458.84 and 65,204.70 is: 97,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,085.56 : 121,458.84 = 65,204.70 : x
  2. Step 2: Convert to fraction form
    81,085.56/121,458.84 = 65,204.70/x
  3. Step 3: Cross multiply
    81,085.56x = 121,458.84 × 65,204.70
  4. Step 4: Simplify right side
    81,085.56x = 7,919,687,224.55
  5. Step 5: Solve for x
    x = 7,919,687,224.55/81,085.56
  6. Step 6: Final answer
    x = 97,670.75

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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.