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Finding the Fourth Proportional to 102,189, 140,930.08 and 66,344.88

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Solution

The fourth proportional to 102,189, 140,930.08 and 66,344.88 is: 91,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,189 : 140,930.08 = 66,344.88 : x
  2. Step 2: Convert to fraction form
    102,189/140,930.08 = 66,344.88/x
  3. Step 3: Cross multiply
    102,189x = 140,930.08 × 66,344.88
  4. Step 4: Simplify right side
    102,189x = 9,349,989,245.99
  5. Step 5: Solve for x
    x = 9,349,989,245.99/102,189
  6. Step 6: Final answer
    x = 91,497.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.