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Finding the Fourth Proportional to 89,871.66, 134,819.46 and 30,691.44

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Solution

The fourth proportional to 89,871.66, 134,819.46 and 30,691.44 is: 46,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,871.66 : 134,819.46 = 30,691.44 : x
  2. Step 2: Convert to fraction form
    89,871.66/134,819.46 = 30,691.44/x
  3. Step 3: Cross multiply
    89,871.66x = 134,819.46 × 30,691.44
  4. Step 4: Simplify right side
    89,871.66x = 4,137,803,367.42
  5. Step 5: Solve for x
    x = 4,137,803,367.42/89,871.66
  6. Step 6: Final answer
    x = 46,041.25

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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.