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Finding the Fourth Proportional to 209,241.90, 288,750.42 and 113,751

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Solution

The fourth proportional to 209,241.90, 288,750.42 and 113,751 is: 156,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,241.90 : 288,750.42 = 113,751 : x
  2. Step 2: Convert to fraction form
    209,241.90/288,750.42 = 113,751/x
  3. Step 3: Cross multiply
    209,241.90x = 288,750.42 × 113,751
  4. Step 4: Simplify right side
    209,241.90x = 32,845,649,025.42
  5. Step 5: Solve for x
    x = 32,845,649,025.42/209,241.90
  6. Step 6: Final answer
    x = 156,974.53

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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.