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Finding the Fourth Proportional to 209,208.87, 288,695.93 and 113,714.73

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Solution

The fourth proportional to 209,208.87, 288,695.93 and 113,714.73 is: 156,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,208.87 : 288,695.93 = 113,714.73 : x
  2. Step 2: Convert to fraction form
    209,208.87/288,695.93 = 113,714.73/x
  3. Step 3: Cross multiply
    209,208.87x = 288,695.93 × 113,714.73
  4. Step 4: Simplify right side
    209,208.87x = 32,828,979,163.48
  5. Step 5: Solve for x
    x = 32,828,979,163.48/209,208.87
  6. Step 6: Final answer
    x = 156,919.63

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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.