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Finding the Fourth Proportional to 140,122.92, 210,178.49 and 65,217.30

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Solution

The fourth proportional to 140,122.92, 210,178.49 and 65,217.30 is: 97,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,122.92 : 210,178.49 = 65,217.30 : x
  2. Step 2: Convert to fraction form
    140,122.92/210,178.49 = 65,217.30/x
  3. Step 3: Cross multiply
    140,122.92x = 210,178.49 × 65,217.30
  4. Step 4: Simplify right side
    140,122.92x = 13,707,273,635.88
  5. Step 5: Solve for x
    x = 13,707,273,635.88/140,122.92
  6. Step 6: Final answer
    x = 97,823.21

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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.