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Finding the Fourth Proportional to 121,147.92, 181,722.72 and 42,261.84

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Solution

The fourth proportional to 121,147.92, 181,722.72 and 42,261.84 is: 63,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,147.92 : 181,722.72 = 42,261.84 : x
  2. Step 2: Convert to fraction form
    121,147.92/181,722.72 = 42,261.84/x
  3. Step 3: Cross multiply
    121,147.92x = 181,722.72 × 42,261.84
  4. Step 4: Simplify right side
    121,147.92x = 7,679,936,517.00
  5. Step 5: Solve for x
    x = 7,679,936,517.00/121,147.92
  6. Step 6: Final answer
    x = 63,393.05

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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.