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Finding the Fourth Proportional to 99,140.78, 148,858.80 and 40,091.78

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Solution

The fourth proportional to 99,140.78, 148,858.80 and 40,091.78 is: 60,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,140.78 : 148,858.80 = 40,091.78 : x
  2. Step 2: Convert to fraction form
    99,140.78/148,858.80 = 40,091.78/x
  3. Step 3: Cross multiply
    99,140.78x = 148,858.80 × 40,091.78
  4. Step 4: Simplify right side
    99,140.78x = 5,968,014,260.66
  5. Step 5: Solve for x
    x = 5,968,014,260.66/99,140.78
  6. Step 6: Final answer
    x = 60,197.37

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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.