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Finding the Fourth Proportional to 140,398.62, 210,566.97 and 40,537.11

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Solution

The fourth proportional to 140,398.62, 210,566.97 and 40,537.11 is: 60,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,398.62 : 210,566.97 = 40,537.11 : x
  2. Step 2: Convert to fraction form
    140,398.62/210,566.97 = 40,537.11/x
  3. Step 3: Cross multiply
    140,398.62x = 210,566.97 × 40,537.11
  4. Step 4: Simplify right side
    140,398.62x = 8,535,776,425.26
  5. Step 5: Solve for x
    x = 8,535,776,425.26/140,398.62
  6. Step 6: Final answer
    x = 60,796.73

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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.