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Finding the Fourth Proportional to 162,568.80, 243,853.20 and 138,949.20

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Solution

The fourth proportional to 162,568.80, 243,853.20 and 138,949.20 is: 208,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,568.80 : 243,853.20 = 138,949.20 : x
  2. Step 2: Convert to fraction form
    162,568.80/243,853.20 = 138,949.20/x
  3. Step 3: Cross multiply
    162,568.80x = 243,853.20 × 138,949.20
  4. Step 4: Simplify right side
    162,568.80x = 33,883,207,057.44
  5. Step 5: Solve for x
    x = 33,883,207,057.44/162,568.80
  6. Step 6: Final answer
    x = 208,423.80

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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.