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Finding the Fourth Proportional to 209,449.30, 289,041.30 and 113,956.69

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Solution

The fourth proportional to 209,449.30, 289,041.30 and 113,956.69 is: 157,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,449.30 : 289,041.30 = 113,956.69 : x
  2. Step 2: Convert to fraction form
    209,449.30/289,041.30 = 113,956.69/x
  3. Step 3: Cross multiply
    209,449.30x = 289,041.30 × 113,956.69
  4. Step 4: Simplify right side
    209,449.30x = 32,938,189,821.30
  5. Step 5: Solve for x
    x = 32,938,189,821.30/209,449.30
  6. Step 6: Final answer
    x = 157,260.92

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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.