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Finding the Fourth Proportional to 85,989.48, 129,034.44 and 36,065.76

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Solution

The fourth proportional to 85,989.48, 129,034.44 and 36,065.76 is: 54,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,989.48 : 129,034.44 = 36,065.76 : x
  2. Step 2: Convert to fraction form
    85,989.48/129,034.44 = 36,065.76/x
  3. Step 3: Cross multiply
    85,989.48x = 129,034.44 × 36,065.76
  4. Step 4: Simplify right side
    85,989.48x = 4,653,725,144.77
  5. Step 5: Solve for x
    x = 4,653,725,144.77/85,989.48
  6. Step 6: Final answer
    x = 54,119.70

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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.