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Finding the Fourth Proportional to 208,222.97, 312,134.92 and 88,114.70

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Solution

The fourth proportional to 208,222.97, 312,134.92 and 88,114.70 is: 132,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,222.97 : 312,134.92 = 88,114.70 : x
  2. Step 2: Convert to fraction form
    208,222.97/312,134.92 = 88,114.70/x
  3. Step 3: Cross multiply
    208,222.97x = 312,134.92 × 88,114.70
  4. Step 4: Simplify right side
    208,222.97x = 27,503,674,835.32
  5. Step 5: Solve for x
    x = 27,503,674,835.32/208,222.97
  6. Step 6: Final answer
    x = 132,087.61

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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.