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Finding the Fourth Proportional to 204,378.86, 306,630.71 and 104,609.74

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Solution

The fourth proportional to 204,378.86, 306,630.71 and 104,609.74 is: 156,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,378.86 : 306,630.71 = 104,609.74 : x
  2. Step 2: Convert to fraction form
    204,378.86/306,630.71 = 104,609.74/x
  3. Step 3: Cross multiply
    204,378.86x = 306,630.71 × 104,609.74
  4. Step 4: Simplify right side
    204,378.86x = 32,076,558,849.12
  5. Step 5: Solve for x
    x = 32,076,558,849.12/204,378.86
  6. Step 6: Final answer
    x = 156,946.56

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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.