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Finding the Fourth Proportional to 121,999.76, 182,964.43 and 42,034.47

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Solution

The fourth proportional to 121,999.76, 182,964.43 and 42,034.47 is: 63,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,999.76 : 182,964.43 = 42,034.47 : x
  2. Step 2: Convert to fraction form
    121,999.76/182,964.43 = 42,034.47/x
  3. Step 3: Cross multiply
    121,999.76x = 182,964.43 × 42,034.47
  4. Step 4: Simplify right side
    121,999.76x = 7,690,812,843.90
  5. Step 5: Solve for x
    x = 7,690,812,843.90/121,999.76
  6. Step 6: Final answer
    x = 63,039.57

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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.