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Finding the Fourth Proportional to 98,608.20, 147,742.20 and 45,909.60

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Solution

The fourth proportional to 98,608.20, 147,742.20 and 45,909.60 is: 68,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,608.20 : 147,742.20 = 45,909.60 : x
  2. Step 2: Convert to fraction form
    98,608.20/147,742.20 = 45,909.60/x
  3. Step 3: Cross multiply
    98,608.20x = 147,742.20 × 45,909.60
  4. Step 4: Simplify right side
    98,608.20x = 6,782,785,305.12
  5. Step 5: Solve for x
    x = 6,782,785,305.12/98,608.20
  6. Step 6: Final answer
    x = 68,785.21

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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.