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Finding the Fourth Proportional to 208,269.84, 312,340.19 and 75,132.80

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Solution

The fourth proportional to 208,269.84, 312,340.19 and 75,132.80 is: 112,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,269.84 : 312,340.19 = 75,132.80 : x
  2. Step 2: Convert to fraction form
    208,269.84/312,340.19 = 75,132.80/x
  3. Step 3: Cross multiply
    208,269.84x = 312,340.19 × 75,132.80
  4. Step 4: Simplify right side
    208,269.84x = 23,466,991,089.87
  5. Step 5: Solve for x
    x = 23,466,991,089.87/208,269.84
  6. Step 6: Final answer
    x = 112,675.90

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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.