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Finding the Fourth Proportional to 208,856.99, 288,222.87 and 113,363.66

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Solution

The fourth proportional to 208,856.99, 288,222.87 and 113,363.66 is: 156,441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,856.99 : 288,222.87 = 113,363.66 : x
  2. Step 2: Convert to fraction form
    208,856.99/288,222.87 = 113,363.66/x
  3. Step 3: Cross multiply
    208,856.99x = 288,222.87 × 113,363.66
  4. Step 4: Simplify right side
    208,856.99x = 32,673,997,997.79
  5. Step 5: Solve for x
    x = 32,673,997,997.79/208,856.99
  6. Step 6: Final answer
    x = 156,441.97

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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.