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Finding the Fourth Proportional to 120,761.70, 181,142.55 and 76,244.10

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Solution

The fourth proportional to 120,761.70, 181,142.55 and 76,244.10 is: 114,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,761.70 : 181,142.55 = 76,244.10 : x
  2. Step 2: Convert to fraction form
    120,761.70/181,142.55 = 76,244.10/x
  3. Step 3: Cross multiply
    120,761.70x = 181,142.55 × 76,244.10
  4. Step 4: Simplify right side
    120,761.70x = 13,811,050,696.46
  5. Step 5: Solve for x
    x = 13,811,050,696.46/120,761.70
  6. Step 6: Final answer
    x = 114,366.15

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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.