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Finding the Fourth Proportional to 90,356.88, 135,414.36 and 50,898

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Solution

The fourth proportional to 90,356.88, 135,414.36 and 50,898 is: 76,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,356.88 : 135,414.36 = 50,898 : x
  2. Step 2: Convert to fraction form
    90,356.88/135,414.36 = 50,898/x
  3. Step 3: Cross multiply
    90,356.88x = 135,414.36 × 50,898
  4. Step 4: Simplify right side
    90,356.88x = 6,892,320,095.28
  5. Step 5: Solve for x
    x = 6,892,320,095.28/90,356.88
  6. Step 6: Final answer
    x = 76,278.86

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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.