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Finding the Fourth Proportional to 205,953.90, 308,930.85 and 72,833.10

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Solution

The fourth proportional to 205,953.90, 308,930.85 and 72,833.10 is: 109,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,953.90 : 308,930.85 = 72,833.10 : x
  2. Step 2: Convert to fraction form
    205,953.90/308,930.85 = 72,833.10/x
  3. Step 3: Cross multiply
    205,953.90x = 308,930.85 × 72,833.10
  4. Step 4: Simplify right side
    205,953.90x = 22,500,391,491.14
  5. Step 5: Solve for x
    x = 22,500,391,491.14/205,953.90
  6. Step 6: Final answer
    x = 109,249.65

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1.5x scale

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.