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Finding the Fourth Proportional to 121,758.80, 182,652.78 and 51,629

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Solution

The fourth proportional to 121,758.80, 182,652.78 and 51,629 is: 77,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,758.80 : 182,652.78 = 51,629 : x
  2. Step 2: Convert to fraction form
    121,758.80/182,652.78 = 51,629/x
  3. Step 3: Cross multiply
    121,758.80x = 182,652.78 × 51,629
  4. Step 4: Simplify right side
    121,758.80x = 9,430,180,378.62
  5. Step 5: Solve for x
    x = 9,430,180,378.62/121,758.80
  6. Step 6: Final answer
    x = 77,449.68

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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.