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Finding the Fourth Proportional to 99,149.16, 148,871.32 and 40,100.16

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Solution

The fourth proportional to 99,149.16, 148,871.32 and 40,100.16 is: 60,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,149.16 : 148,871.32 = 40,100.16 : x
  2. Step 2: Convert to fraction form
    99,149.16/148,871.32 = 40,100.16/x
  3. Step 3: Cross multiply
    99,149.16x = 148,871.32 × 40,100.16
  4. Step 4: Simplify right side
    99,149.16x = 5,969,763,751.41
  5. Step 5: Solve for x
    x = 5,969,763,751.41/99,149.16
  6. Step 6: Final answer
    x = 60,209.93

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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.