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Finding the Fourth Proportional to 209,080.79, 288,530.73 and 113,586.65

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Solution

The fourth proportional to 209,080.79, 288,530.73 and 113,586.65 is: 156,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,080.79 : 288,530.73 = 113,586.65 : x
  2. Step 2: Convert to fraction form
    209,080.79/288,530.73 = 113,586.65/x
  3. Step 3: Cross multiply
    209,080.79x = 288,530.73 × 113,586.65
  4. Step 4: Simplify right side
    209,080.79x = 32,773,237,600.10
  5. Step 5: Solve for x
    x = 32,773,237,600.10/209,080.79
  6. Step 6: Final answer
    x = 156,749.16

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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.