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Finding the Fourth Proportional to 209,400.96, 288,969.12 and 113,910

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Solution

The fourth proportional to 209,400.96, 288,969.12 and 113,910 is: 157,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,400.96 : 288,969.12 = 113,910 : x
  2. Step 2: Convert to fraction form
    209,400.96/288,969.12 = 113,910/x
  3. Step 3: Cross multiply
    209,400.96x = 288,969.12 × 113,910
  4. Step 4: Simplify right side
    209,400.96x = 32,916,472,459.20
  5. Step 5: Solve for x
    x = 32,916,472,459.20/209,400.96
  6. Step 6: Final answer
    x = 157,193.51

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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.