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Finding the Fourth Proportional to 115,384, 159,229.92 and 62,392

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Solution

The fourth proportional to 115,384, 159,229.92 and 62,392 is: 86,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,384 : 159,229.92 = 62,392 : x
  2. Step 2: Convert to fraction form
    115,384/159,229.92 = 62,392/x
  3. Step 3: Cross multiply
    115,384x = 159,229.92 × 62,392
  4. Step 4: Simplify right side
    115,384x = 9,934,673,168.64
  5. Step 5: Solve for x
    x = 9,934,673,168.64/115,384
  6. Step 6: Final answer
    x = 86,100.96

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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.