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Finding the Fourth Proportional to 208,382.74, 312,232.38 and 88,343.77

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Solution

The fourth proportional to 208,382.74, 312,232.38 and 88,343.77 is: 132,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,382.74 : 312,232.38 = 88,343.77 : x
  2. Step 2: Convert to fraction form
    208,382.74/312,232.38 = 88,343.77/x
  3. Step 3: Cross multiply
    208,382.74x = 312,232.38 × 88,343.77
  4. Step 4: Simplify right side
    208,382.74x = 27,583,785,565.27
  5. Step 5: Solve for x
    x = 27,583,785,565.27/208,382.74
  6. Step 6: Final answer
    x = 132,370.78

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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.