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Finding the Fourth Proportional to 137,251.08, 205,738.02 and 66,069.18

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Solution

The fourth proportional to 137,251.08, 205,738.02 and 66,069.18 is: 99,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,251.08 : 205,738.02 = 66,069.18 : x
  2. Step 2: Convert to fraction form
    137,251.08/205,738.02 = 66,069.18/x
  3. Step 3: Cross multiply
    137,251.08x = 205,738.02 × 66,069.18
  4. Step 4: Simplify right side
    137,251.08x = 13,592,942,276.22
  5. Step 5: Solve for x
    x = 13,592,942,276.22/137,251.08
  6. Step 6: Final answer
    x = 99,037.05

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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.