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Finding the Fourth Proportional to 204,549.69, 306,952.35 and 78,200.63

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Solution

The fourth proportional to 204,549.69, 306,952.35 and 78,200.63 is: 117,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,549.69 : 306,952.35 = 78,200.63 : x
  2. Step 2: Convert to fraction form
    204,549.69/306,952.35 = 78,200.63/x
  3. Step 3: Cross multiply
    204,549.69x = 306,952.35 × 78,200.63
  4. Step 4: Simplify right side
    204,549.69x = 24,003,867,149.98
  5. Step 5: Solve for x
    x = 24,003,867,149.98/204,549.69
  6. Step 6: Final answer
    x = 117,349.81

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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.