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Finding the Fourth Proportional to 99,141.78, 148,860.30 and 40,092.78

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Solution

The fourth proportional to 99,141.78, 148,860.30 and 40,092.78 is: 60,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,141.78 : 148,860.30 = 40,092.78 : x
  2. Step 2: Convert to fraction form
    99,141.78/148,860.30 = 40,092.78/x
  3. Step 3: Cross multiply
    99,141.78x = 148,860.30 × 40,092.78
  4. Step 4: Simplify right side
    99,141.78x = 5,968,223,258.63
  5. Step 5: Solve for x
    x = 5,968,223,258.63/99,141.78
  6. Step 6: Final answer
    x = 60,198.87

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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.