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Finding the Fourth Proportional to 208,714.12, 288,023.26 and 113,220

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Solution

The fourth proportional to 208,714.12, 288,023.26 and 113,220 is: 156,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,714.12 : 288,023.26 = 113,220 : x
  2. Step 2: Convert to fraction form
    208,714.12/288,023.26 = 113,220/x
  3. Step 3: Cross multiply
    208,714.12x = 288,023.26 × 113,220
  4. Step 4: Simplify right side
    208,714.12x = 32,609,993,497.20
  5. Step 5: Solve for x
    x = 32,609,993,497.20/208,714.12
  6. Step 6: Final answer
    x = 156,242.39

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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.