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Finding the Fourth Proportional to 20,132.70, 30,199.05 and 14,624.70

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Solution

The fourth proportional to 20,132.70, 30,199.05 and 14,624.70 is: 21,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.70 : 30,199.05 = 14,624.70 : x
  2. Step 2: Convert to fraction form
    20,132.70/30,199.05 = 14,624.70/x
  3. Step 3: Cross multiply
    20,132.70x = 30,199.05 × 14,624.70
  4. Step 4: Simplify right side
    20,132.70x = 441,652,046.54
  5. Step 5: Solve for x
    x = 441,652,046.54/20,132.70
  6. Step 6: Final answer
    x = 21,937.05

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1.5x scale

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.