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Finding the Fourth Proportional to 137,156.56, 205,594.04 and 66,949.52

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Solution

The fourth proportional to 137,156.56, 205,594.04 and 66,949.52 is: 100,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,156.56 : 205,594.04 = 66,949.52 : x
  2. Step 2: Convert to fraction form
    137,156.56/205,594.04 = 66,949.52/x
  3. Step 3: Cross multiply
    137,156.56x = 205,594.04 × 66,949.52
  4. Step 4: Simplify right side
    137,156.56x = 13,764,422,292.86
  5. Step 5: Solve for x
    x = 13,764,422,292.86/137,156.56
  6. Step 6: Final answer
    x = 100,355.55

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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.