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Finding the Fourth Proportional to 121,359.90, 182,120.83 and 42,474.14

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Solution

The fourth proportional to 121,359.90, 182,120.83 and 42,474.14 is: 63,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,359.90 : 182,120.83 = 42,474.14 : x
  2. Step 2: Convert to fraction form
    121,359.90/182,120.83 = 42,474.14/x
  3. Step 3: Cross multiply
    121,359.90x = 182,120.83 × 42,474.14
  4. Step 4: Simplify right side
    121,359.90x = 7,735,424,613.55
  5. Step 5: Solve for x
    x = 7,735,424,613.55/121,359.90
  6. Step 6: Final answer
    x = 63,739.54

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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.