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Finding the Fourth Proportional to 73,681, 101,679.80 and 40,147

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Solution

The fourth proportional to 73,681, 101,679.80 and 40,147 is: 55,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,681 : 101,679.80 = 40,147 : x
  2. Step 2: Convert to fraction form
    73,681/101,679.80 = 40,147/x
  3. Step 3: Cross multiply
    73,681x = 101,679.80 × 40,147
  4. Step 4: Simplify right side
    73,681x = 4,082,138,930.60
  5. Step 5: Solve for x
    x = 4,082,138,930.60/73,681
  6. Step 6: Final answer
    x = 55,402.87

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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.