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Finding the Fourth Proportional to 115,067.78, 158,842.67 and 77,363.90

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Solution

The fourth proportional to 115,067.78, 158,842.67 and 77,363.90 is: 106,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,067.78 : 158,842.67 = 77,363.90 : x
  2. Step 2: Convert to fraction form
    115,067.78/158,842.67 = 77,363.90/x
  3. Step 3: Cross multiply
    115,067.78x = 158,842.67 × 77,363.90
  4. Step 4: Simplify right side
    115,067.78x = 12,288,687,256.58
  5. Step 5: Solve for x
    x = 12,288,687,256.58/115,067.78
  6. Step 6: Final answer
    x = 106,795.21

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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.