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Finding the Fourth Proportional to 209,247.50, 288,750.52 and 113,753.77

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Solution

The fourth proportional to 209,247.50, 288,750.52 and 113,753.77 is: 156,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,247.50 : 288,750.52 = 113,753.77 : x
  2. Step 2: Convert to fraction form
    209,247.50/288,750.52 = 113,753.77/x
  3. Step 3: Cross multiply
    209,247.50x = 288,750.52 × 113,753.77
  4. Step 4: Simplify right side
    209,247.50x = 32,846,459,659.78
  5. Step 5: Solve for x
    x = 32,846,459,659.78/209,247.50
  6. Step 6: Final answer
    x = 156,974.20

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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.