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Finding the Fourth Proportional to 205,376.75, 308,100.16 and 91,565.86

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Solution

The fourth proportional to 205,376.75, 308,100.16 and 91,565.86 is: 137,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,376.75 : 308,100.16 = 91,565.86 : x
  2. Step 2: Convert to fraction form
    205,376.75/308,100.16 = 91,565.86/x
  3. Step 3: Cross multiply
    205,376.75x = 308,100.16 × 91,565.86
  4. Step 4: Simplify right side
    205,376.75x = 28,211,455,117.37
  5. Step 5: Solve for x
    x = 28,211,455,117.37/205,376.75
  6. Step 6: Final answer
    x = 137,364.40

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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.