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Finding the Fourth Proportional to 209,218.30, 288,722.29 and 113,725

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Solution

The fourth proportional to 209,218.30, 288,722.29 and 113,725 is: 156,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,218.30 : 288,722.29 = 113,725 : x
  2. Step 2: Convert to fraction form
    209,218.30/288,722.29 = 113,725/x
  3. Step 3: Cross multiply
    209,218.30x = 288,722.29 × 113,725
  4. Step 4: Simplify right side
    209,218.30x = 32,834,942,430.25
  5. Step 5: Solve for x
    x = 32,834,942,430.25/209,218.30
  6. Step 6: Final answer
    x = 156,941.06

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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.