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Finding the Fourth Proportional to 208,536, 312,016.68 and 129,279.12

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Solution

The fourth proportional to 208,536, 312,016.68 and 129,279.12 is: 193,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,536 : 312,016.68 = 129,279.12 : x
  2. Step 2: Convert to fraction form
    208,536/312,016.68 = 129,279.12/x
  3. Step 3: Cross multiply
    208,536x = 312,016.68 × 129,279.12
  4. Step 4: Simplify right side
    208,536x = 40,337,241,815.72
  5. Step 5: Solve for x
    x = 40,337,241,815.72/208,536
  6. Step 6: Final answer
    x = 193,430.59

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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.