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Finding the Fourth Proportional to 100,234.80, 149,920.20 and 89,780.40

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Solution

The fourth proportional to 100,234.80, 149,920.20 and 89,780.40 is: 134,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,234.80 : 149,920.20 = 89,780.40 : x
  2. Step 2: Convert to fraction form
    100,234.80/149,920.20 = 89,780.40/x
  3. Step 3: Cross multiply
    100,234.80x = 149,920.20 × 89,780.40
  4. Step 4: Simplify right side
    100,234.80x = 13,459,895,524.08
  5. Step 5: Solve for x
    x = 13,459,895,524.08/100,234.80
  6. Step 6: Final answer
    x = 134,283.66

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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.