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Finding the Fourth Proportional to 100,378.80, 150,593.04 and 70,854.48

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Solution

The fourth proportional to 100,378.80, 150,593.04 and 70,854.48 is: 106,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,378.80 : 150,593.04 = 70,854.48 : x
  2. Step 2: Convert to fraction form
    100,378.80/150,593.04 = 70,854.48/x
  3. Step 3: Cross multiply
    100,378.80x = 150,593.04 × 70,854.48
  4. Step 4: Simplify right side
    100,378.80x = 10,670,191,540.82
  5. Step 5: Solve for x
    x = 10,670,191,540.82/100,378.80
  6. Step 6: Final answer
    x = 106,299.25

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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.