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Finding the Fourth Proportional to 99,138.78, 148,855.80 and 40,089.78

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Solution

The fourth proportional to 99,138.78, 148,855.80 and 40,089.78 is: 60,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,138.78 : 148,855.80 = 40,089.78 : x
  2. Step 2: Convert to fraction form
    99,138.78/148,855.80 = 40,089.78/x
  3. Step 3: Cross multiply
    99,138.78x = 148,855.80 × 40,089.78
  4. Step 4: Simplify right side
    99,138.78x = 5,967,596,273.72
  5. Step 5: Solve for x
    x = 5,967,596,273.72/99,138.78
  6. Step 6: Final answer
    x = 60,194.37

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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.