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Finding the Fourth Proportional to 108,718.20, 162,947.70 and 45,538.20

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Solution

The fourth proportional to 108,718.20, 162,947.70 and 45,538.20 is: 68,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,718.20 : 162,947.70 = 45,538.20 : x
  2. Step 2: Convert to fraction form
    108,718.20/162,947.70 = 45,538.20/x
  3. Step 3: Cross multiply
    108,718.20x = 162,947.70 × 45,538.20
  4. Step 4: Simplify right side
    108,718.20x = 7,420,344,952.14
  5. Step 5: Solve for x
    x = 7,420,344,952.14/108,718.20
  6. Step 6: Final answer
    x = 68,253.02

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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.