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Finding the Fourth Proportional to 140,658.75, 210,988.17 and 42,162.75

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Solution

The fourth proportional to 140,658.75, 210,988.17 and 42,162.75 is: 63,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,658.75 : 210,988.17 = 42,162.75 : x
  2. Step 2: Convert to fraction form
    140,658.75/210,988.17 = 42,162.75/x
  3. Step 3: Cross multiply
    140,658.75x = 210,988.17 × 42,162.75
  4. Step 4: Simplify right side
    140,658.75x = 8,895,841,464.67
  5. Step 5: Solve for x
    x = 8,895,841,464.67/140,658.75
  6. Step 6: Final answer
    x = 63,244.14

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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.