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Finding the Fourth Proportional to 138,885, 208,362.78 and 40,389

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Solution

The fourth proportional to 138,885, 208,362.78 and 40,389 is: 60,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,885 : 208,362.78 = 40,389 : x
  2. Step 2: Convert to fraction form
    138,885/208,362.78 = 40,389/x
  3. Step 3: Cross multiply
    138,885x = 208,362.78 × 40,389
  4. Step 4: Simplify right side
    138,885x = 8,415,564,321.42
  5. Step 5: Solve for x
    x = 8,415,564,321.42/138,885
  6. Step 6: Final answer
    x = 60,593.76

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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.