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Finding the Fourth Proportional to 209,251.48, 288,772.74 and 113,764.76

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Solution

The fourth proportional to 209,251.48, 288,772.74 and 113,764.76 is: 156,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,251.48 : 288,772.74 = 113,764.76 : x
  2. Step 2: Convert to fraction form
    209,251.48/288,772.74 = 113,764.76/x
  3. Step 3: Cross multiply
    209,251.48x = 288,772.74 × 113,764.76
  4. Step 4: Simplify right side
    209,251.48x = 32,852,161,460.64
  5. Step 5: Solve for x
    x = 32,852,161,460.64/209,251.48
  6. Step 6: Final answer
    x = 156,998.47

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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.