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Finding the Fourth Proportional to 98,722.32, 147,928.50 and 67,147.44

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Solution

The fourth proportional to 98,722.32, 147,928.50 and 67,147.44 is: 100,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,722.32 : 147,928.50 = 67,147.44 : x
  2. Step 2: Convert to fraction form
    98,722.32/147,928.50 = 67,147.44/x
  3. Step 3: Cross multiply
    98,722.32x = 147,928.50 × 67,147.44
  4. Step 4: Simplify right side
    98,722.32x = 9,933,020,078.04
  5. Step 5: Solve for x
    x = 9,933,020,078.04/98,722.32
  6. Step 6: Final answer
    x = 100,615.75

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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.