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Finding the Fourth Proportional to 120,806.66, 181,138.19 and 45,932.28

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Solution

The fourth proportional to 120,806.66, 181,138.19 and 45,932.28 is: 68,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,806.66 : 181,138.19 = 45,932.28 : x
  2. Step 2: Convert to fraction form
    120,806.66/181,138.19 = 45,932.28/x
  3. Step 3: Cross multiply
    120,806.66x = 181,138.19 × 45,932.28
  4. Step 4: Simplify right side
    120,806.66x = 8,320,090,061.77
  5. Step 5: Solve for x
    x = 8,320,090,061.77/120,806.66
  6. Step 6: Final answer
    x = 68,871.12

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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.