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Finding the Fourth Proportional to 204,980.37, 307,565.52 and 78,578.38

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Solution

The fourth proportional to 204,980.37, 307,565.52 and 78,578.38 is: 117,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,980.37 : 307,565.52 = 78,578.38 : x
  2. Step 2: Convert to fraction form
    204,980.37/307,565.52 = 78,578.38/x
  3. Step 3: Cross multiply
    204,980.37x = 307,565.52 × 78,578.38
  4. Step 4: Simplify right side
    204,980.37x = 24,168,000,305.46
  5. Step 5: Solve for x
    x = 24,168,000,305.46/204,980.37
  6. Step 6: Final answer
    x = 117,903.97

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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.