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Finding the Fourth Proportional to 121,156.32, 181,720.56 and 32,416.80

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Solution

The fourth proportional to 121,156.32, 181,720.56 and 32,416.80 is: 48,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,156.32 : 181,720.56 = 32,416.80 : x
  2. Step 2: Convert to fraction form
    121,156.32/181,720.56 = 32,416.80/x
  3. Step 3: Cross multiply
    121,156.32x = 181,720.56 × 32,416.80
  4. Step 4: Simplify right side
    121,156.32x = 5,890,799,049.41
  5. Step 5: Solve for x
    x = 5,890,799,049.41/121,156.32
  6. Step 6: Final answer
    x = 48,621.48

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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.