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Finding the Fourth Proportional to 209,366.92, 288,927.70 and 113,874.28

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Solution

The fourth proportional to 209,366.92, 288,927.70 and 113,874.28 is: 157,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,366.92 : 288,927.70 = 113,874.28 : x
  2. Step 2: Convert to fraction form
    209,366.92/288,927.70 = 113,874.28/x
  3. Step 3: Cross multiply
    209,366.92x = 288,927.70 × 113,874.28
  4. Step 4: Simplify right side
    209,366.92x = 32,901,433,809.56
  5. Step 5: Solve for x
    x = 32,901,433,809.56/209,366.92
  6. Step 6: Final answer
    x = 157,147.24

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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.