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Finding the Fourth Proportional to 203,808.59, 305,565.25 and 102,668.95

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Solution

The fourth proportional to 203,808.59, 305,565.25 and 102,668.95 is: 153,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,808.59 : 305,565.25 = 102,668.95 : x
  2. Step 2: Convert to fraction form
    203,808.59/305,565.25 = 102,668.95/x
  3. Step 3: Cross multiply
    203,808.59x = 305,565.25 × 102,668.95
  4. Step 4: Simplify right side
    203,808.59x = 31,372,061,846.16
  5. Step 5: Solve for x
    x = 31,372,061,846.16/203,808.59
  6. Step 6: Final answer
    x = 153,929.05

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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.