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Finding the Fourth Proportional to 208,856.80, 288,222.74 and 113,363.52

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Solution

The fourth proportional to 208,856.80, 288,222.74 and 113,363.52 is: 156,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,856.80 : 288,222.74 = 113,363.52 : x
  2. Step 2: Convert to fraction form
    208,856.80/288,222.74 = 113,363.52/x
  3. Step 3: Cross multiply
    208,856.80x = 288,222.74 × 113,363.52
  4. Step 4: Simplify right side
    208,856.80x = 32,673,944,350.44
  5. Step 5: Solve for x
    x = 32,673,944,350.44/208,856.80
  6. Step 6: Final answer
    x = 156,441.85

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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.