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Finding the Fourth Proportional to 245,426.25, 368,143.92 and 76,942.80

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Solution

The fourth proportional to 245,426.25, 368,143.92 and 76,942.80 is: 115,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,426.25 : 368,143.92 = 76,942.80 : x
  2. Step 2: Convert to fraction form
    245,426.25/368,143.92 = 76,942.80/x
  3. Step 3: Cross multiply
    245,426.25x = 368,143.92 × 76,942.80
  4. Step 4: Simplify right side
    245,426.25x = 28,326,024,007.78
  5. Step 5: Solve for x
    x = 28,326,024,007.78/245,426.25
  6. Step 6: Final answer
    x = 115,415.62

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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.