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Finding the Fourth Proportional to 120,995.86, 181,291.96 and 85,398.85

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Solution

The fourth proportional to 120,995.86, 181,291.96 and 85,398.85 is: 127,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,995.86 : 181,291.96 = 85,398.85 : x
  2. Step 2: Convert to fraction form
    120,995.86/181,291.96 = 85,398.85/x
  3. Step 3: Cross multiply
    120,995.86x = 181,291.96 × 85,398.85
  4. Step 4: Simplify right side
    120,995.86x = 15,482,124,680.63
  5. Step 5: Solve for x
    x = 15,482,124,680.63/120,995.86
  6. Step 6: Final answer
    x = 127,955.82

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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.