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Finding the Fourth Proportional to 20,159.76, 30,242.78 and 10,293.70

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Solution

The fourth proportional to 20,159.76, 30,242.78 and 10,293.70 is: 15,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.76 : 30,242.78 = 10,293.70 : x
  2. Step 2: Convert to fraction form
    20,159.76/30,242.78 = 10,293.70/x
  3. Step 3: Cross multiply
    20,159.76x = 30,242.78 × 10,293.70
  4. Step 4: Simplify right side
    20,159.76x = 311,310,104.49
  5. Step 5: Solve for x
    x = 311,310,104.49/20,159.76
  6. Step 6: Final answer
    x = 15,442.15

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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.