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Finding the Fourth Proportional to 98,321.65, 147,347.91 and 74,286.20

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Solution

The fourth proportional to 98,321.65, 147,347.91 and 74,286.20 is: 111,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,321.65 : 147,347.91 = 74,286.20 : x
  2. Step 2: Convert to fraction form
    98,321.65/147,347.91 = 74,286.20/x
  3. Step 3: Cross multiply
    98,321.65x = 147,347.91 × 74,286.20
  4. Step 4: Simplify right side
    98,321.65x = 10,945,916,680.21
  5. Step 5: Solve for x
    x = 10,945,916,680.21/98,321.65
  6. Step 6: Final answer
    x = 111,327.64

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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.