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Finding the Fourth Proportional to 209,207.64, 288,704.84 and 113,714.04

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Solution

The fourth proportional to 209,207.64, 288,704.84 and 113,714.04 is: 156,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,207.64 : 288,704.84 = 113,714.04 : x
  2. Step 2: Convert to fraction form
    209,207.64/288,704.84 = 113,714.04/x
  3. Step 3: Cross multiply
    209,207.64x = 288,704.84 × 113,714.04
  4. Step 4: Simplify right side
    209,207.64x = 32,829,793,723.95
  5. Step 5: Solve for x
    x = 32,829,793,723.95/209,207.64
  6. Step 6: Final answer
    x = 156,924.45

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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.