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Finding the Fourth Proportional to 103,920.86, 143,214.82 and 75,191.88

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Solution

The fourth proportional to 103,920.86, 143,214.82 and 75,191.88 is: 103,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,920.86 : 143,214.82 = 75,191.88 : x
  2. Step 2: Convert to fraction form
    103,920.86/143,214.82 = 75,191.88/x
  3. Step 3: Cross multiply
    103,920.86x = 143,214.82 × 75,191.88
  4. Step 4: Simplify right side
    103,920.86x = 10,768,591,183.70
  5. Step 5: Solve for x
    x = 10,768,591,183.70/103,920.86
  6. Step 6: Final answer
    x = 103,623.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.