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Finding the Fourth Proportional to 101,492.68, 140,013.12 and 65,694.18

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Solution

The fourth proportional to 101,492.68, 140,013.12 and 65,694.18 is: 90,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,492.68 : 140,013.12 = 65,694.18 : x
  2. Step 2: Convert to fraction form
    101,492.68/140,013.12 = 65,694.18/x
  3. Step 3: Cross multiply
    101,492.68x = 140,013.12 × 65,694.18
  4. Step 4: Simplify right side
    101,492.68x = 9,198,047,107.64
  5. Step 5: Solve for x
    x = 9,198,047,107.64/101,492.68
  6. Step 6: Final answer
    x = 90,627.69

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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.