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Finding the Fourth Proportional to 120,871.60, 181,134.60 and 89,033.20

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Solution

The fourth proportional to 120,871.60, 181,134.60 and 89,033.20 is: 133,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,871.60 : 181,134.60 = 89,033.20 : x
  2. Step 2: Convert to fraction form
    120,871.60/181,134.60 = 89,033.20/x
  3. Step 3: Cross multiply
    120,871.60x = 181,134.60 × 89,033.20
  4. Step 4: Simplify right side
    120,871.60x = 16,126,993,068.72
  5. Step 5: Solve for x
    x = 16,126,993,068.72/120,871.60
  6. Step 6: Final answer
    x = 133,422.52

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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.