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Finding the Fourth Proportional to 208,314.76, 312,472.56 and 75,288.96

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Solution

The fourth proportional to 208,314.76, 312,472.56 and 75,288.96 is: 112,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,314.76 : 312,472.56 = 75,288.96 : x
  2. Step 2: Convert to fraction form
    208,314.76/312,472.56 = 75,288.96/x
  3. Step 3: Cross multiply
    208,314.76x = 312,472.56 × 75,288.96
  4. Step 4: Simplify right side
    208,314.76x = 23,525,734,070.94
  5. Step 5: Solve for x
    x = 23,525,734,070.94/208,314.76
  6. Step 6: Final answer
    x = 112,933.59

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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.