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Finding the Fourth Proportional to 208,279.22, 312,354.25 and 75,142.17

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Solution

The fourth proportional to 208,279.22, 312,354.25 and 75,142.17 is: 112,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,279.22 : 312,354.25 = 75,142.17 : x
  2. Step 2: Convert to fraction form
    208,279.22/312,354.25 = 75,142.17/x
  3. Step 3: Cross multiply
    208,279.22x = 312,354.25 × 75,142.17
  4. Step 4: Simplify right side
    208,279.22x = 23,470,975,965.87
  5. Step 5: Solve for x
    x = 23,470,975,965.87/208,279.22
  6. Step 6: Final answer
    x = 112,689.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.