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Finding the Fourth Proportional to 205,847.90, 308,800.65 and 87,518.30

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Solution

The fourth proportional to 205,847.90, 308,800.65 and 87,518.30 is: 131,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,847.90 : 308,800.65 = 87,518.30 : x
  2. Step 2: Convert to fraction form
    205,847.90/308,800.65 = 87,518.30/x
  3. Step 3: Cross multiply
    205,847.90x = 308,800.65 × 87,518.30
  4. Step 4: Simplify right side
    205,847.90x = 27,025,707,926.90
  5. Step 5: Solve for x
    x = 27,025,707,926.90/205,847.90
  6. Step 6: Final answer
    x = 131,289.69

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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.