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Finding the Fourth Proportional to 90,471.92, 135,581.46 and 77,075.12

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Solution

The fourth proportional to 90,471.92, 135,581.46 and 77,075.12 is: 115,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,471.92 : 135,581.46 = 77,075.12 : x
  2. Step 2: Convert to fraction form
    90,471.92/135,581.46 = 77,075.12/x
  3. Step 3: Cross multiply
    90,471.92x = 135,581.46 × 77,075.12
  4. Step 4: Simplify right side
    90,471.92x = 10,449,957,299.28
  5. Step 5: Solve for x
    x = 10,449,957,299.28/90,471.92
  6. Step 6: Final answer
    x = 115,504.98

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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.