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Finding the Fourth Proportional to 205,376.56, 308,099.86 and 91,565.66

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Solution

The fourth proportional to 205,376.56, 308,099.86 and 91,565.66 is: 137,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,376.56 : 308,099.86 = 91,565.66 : x
  2. Step 2: Convert to fraction form
    205,376.56/308,099.86 = 91,565.66/x
  3. Step 3: Cross multiply
    205,376.56x = 308,099.86 × 91,565.66
  4. Step 4: Simplify right side
    205,376.56x = 28,211,367,255.72
  5. Step 5: Solve for x
    x = 28,211,367,255.72/205,376.56
  6. Step 6: Final answer
    x = 137,364.11

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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.