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Finding the Fourth Proportional to 101,578.74, 140,174.79 and 55,637.65

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Solution

The fourth proportional to 101,578.74, 140,174.79 and 55,637.65 is: 76,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,578.74 : 140,174.79 = 55,637.65 : x
  2. Step 2: Convert to fraction form
    101,578.74/140,174.79 = 55,637.65/x
  3. Step 3: Cross multiply
    101,578.74x = 140,174.79 × 55,637.65
  4. Step 4: Simplify right side
    101,578.74x = 7,798,995,082.94
  5. Step 5: Solve for x
    x = 7,798,995,082.94/101,578.74
  6. Step 6: Final answer
    x = 76,777.83

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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.