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Finding the Fourth Proportional to 208,637.67, 312,818.25 and 75,500.61

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Solution

The fourth proportional to 208,637.67, 312,818.25 and 75,500.61 is: 113,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,637.67 : 312,818.25 = 75,500.61 : x
  2. Step 2: Convert to fraction form
    208,637.67/312,818.25 = 75,500.61/x
  3. Step 3: Cross multiply
    208,637.67x = 312,818.25 × 75,500.61
  4. Step 4: Simplify right side
    208,637.67x = 23,617,968,694.13
  5. Step 5: Solve for x
    x = 23,617,968,694.13/208,637.67
  6. Step 6: Final answer
    x = 113,200.88

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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.