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Finding the Fourth Proportional to 90,563.78, 135,884.12 and 48,432.94

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Solution

The fourth proportional to 90,563.78, 135,884.12 and 48,432.94 is: 72,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,563.78 : 135,884.12 = 48,432.94 : x
  2. Step 2: Convert to fraction form
    90,563.78/135,884.12 = 48,432.94/x
  3. Step 3: Cross multiply
    90,563.78x = 135,884.12 × 48,432.94
  4. Step 4: Simplify right side
    90,563.78x = 6,581,267,053.36
  5. Step 5: Solve for x
    x = 6,581,267,053.36/90,563.78
  6. Step 6: Final answer
    x = 72,669.97

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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.