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Finding the Fourth Proportional to 100,020.76, 150,104.98 and 47,430.42

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Solution

The fourth proportional to 100,020.76, 150,104.98 and 47,430.42 is: 71,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,020.76 : 150,104.98 = 47,430.42 : x
  2. Step 2: Convert to fraction form
    100,020.76/150,104.98 = 47,430.42/x
  3. Step 3: Cross multiply
    100,020.76x = 150,104.98 × 47,430.42
  4. Step 4: Simplify right side
    100,020.76x = 7,119,542,245.49
  5. Step 5: Solve for x
    x = 7,119,542,245.49/100,020.76
  6. Step 6: Final answer
    x = 71,180.65

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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.