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Finding the Fourth Proportional to 107,882.98, 161,879.04 and 72,748.78

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Solution

The fourth proportional to 107,882.98, 161,879.04 and 72,748.78 is: 109,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,882.98 : 161,879.04 = 72,748.78 : x
  2. Step 2: Convert to fraction form
    107,882.98/161,879.04 = 72,748.78/x
  3. Step 3: Cross multiply
    107,882.98x = 161,879.04 × 72,748.78
  4. Step 4: Simplify right side
    107,882.98x = 11,776,502,667.57
  5. Step 5: Solve for x
    x = 11,776,502,667.57/107,882.98
  6. Step 6: Final answer
    x = 109,159.97

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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.