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Finding the Fourth Proportional to 101,638.14, 140,265.84 and 61,351.38

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Solution

The fourth proportional to 101,638.14, 140,265.84 and 61,351.38 is: 84,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,638.14 : 140,265.84 = 61,351.38 : x
  2. Step 2: Convert to fraction form
    101,638.14/140,265.84 = 61,351.38/x
  3. Step 3: Cross multiply
    101,638.14x = 140,265.84 × 61,351.38
  4. Step 4: Simplify right side
    101,638.14x = 8,605,502,850.86
  5. Step 5: Solve for x
    x = 8,605,502,850.86/101,638.14
  6. Step 6: Final answer
    x = 84,668.05

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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.