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Finding the Fourth Proportional to 205,975.95, 308,964.95 and 72,856.33

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Solution

The fourth proportional to 205,975.95, 308,964.95 and 72,856.33 is: 109,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,975.95 : 308,964.95 = 72,856.33 : x
  2. Step 2: Convert to fraction form
    205,975.95/308,964.95 = 72,856.33/x
  3. Step 3: Cross multiply
    205,975.95x = 308,964.95 × 72,856.33
  4. Step 4: Simplify right side
    205,975.95x = 22,510,050,446.53
  5. Step 5: Solve for x
    x = 22,510,050,446.53/205,975.95
  6. Step 6: Final answer
    x = 109,284.85

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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.