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Finding the Fourth Proportional to 137,154.56, 205,591.04 and 66,947.52

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Solution

The fourth proportional to 137,154.56, 205,591.04 and 66,947.52 is: 100,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,154.56 : 205,591.04 = 66,947.52 : x
  2. Step 2: Convert to fraction form
    137,154.56/205,591.04 = 66,947.52/x
  3. Step 3: Cross multiply
    137,154.56x = 205,591.04 × 66,947.52
  4. Step 4: Simplify right side
    137,154.56x = 13,763,810,262.22
  5. Step 5: Solve for x
    x = 13,763,810,262.22/137,154.56
  6. Step 6: Final answer
    x = 100,352.55

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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.