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Finding the Fourth Proportional to 208,557.78, 312,914.84 and 96,291.78

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Solution

The fourth proportional to 208,557.78, 312,914.84 and 96,291.78 is: 144,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,557.78 : 312,914.84 = 96,291.78 : x
  2. Step 2: Convert to fraction form
    208,557.78/312,914.84 = 96,291.78/x
  3. Step 3: Cross multiply
    208,557.78x = 312,914.84 × 96,291.78
  4. Step 4: Simplify right side
    208,557.78x = 30,131,126,932.02
  5. Step 5: Solve for x
    x = 30,131,126,932.02/208,557.78
  6. Step 6: Final answer
    x = 144,473.76

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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.