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Finding the Fourth Proportional to 100,205.74, 150,381.51 and 80,719.57

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Solution

The fourth proportional to 100,205.74, 150,381.51 and 80,719.57 is: 121,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,205.74 : 150,381.51 = 80,719.57 : x
  2. Step 2: Convert to fraction form
    100,205.74/150,381.51 = 80,719.57/x
  3. Step 3: Cross multiply
    100,205.74x = 150,381.51 × 80,719.57
  4. Step 4: Simplify right side
    100,205.74x = 12,138,730,823.15
  5. Step 5: Solve for x
    x = 12,138,730,823.15/100,205.74
  6. Step 6: Final answer
    x = 121,138.08

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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.