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Finding the Fourth Proportional to 120,859.12, 181,242.06 and 45,939.88

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Solution

The fourth proportional to 120,859.12, 181,242.06 and 45,939.88 is: 68,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,859.12 : 181,242.06 = 45,939.88 : x
  2. Step 2: Convert to fraction form
    120,859.12/181,242.06 = 45,939.88/x
  3. Step 3: Cross multiply
    120,859.12x = 181,242.06 × 45,939.88
  4. Step 4: Simplify right side
    120,859.12x = 8,326,238,487.35
  5. Step 5: Solve for x
    x = 8,326,238,487.35/120,859.12
  6. Step 6: Final answer
    x = 68,892.10

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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.