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Finding the Fourth Proportional to 90,436.44, 135,674.10 and 30,470.88

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Solution

The fourth proportional to 90,436.44, 135,674.10 and 30,470.88 is: 45,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,436.44 : 135,674.10 = 30,470.88 : x
  2. Step 2: Convert to fraction form
    90,436.44/135,674.10 = 30,470.88/x
  3. Step 3: Cross multiply
    90,436.44x = 135,674.10 × 30,470.88
  4. Step 4: Simplify right side
    90,436.44x = 4,134,108,541.84
  5. Step 5: Solve for x
    x = 4,134,108,541.84/90,436.44
  6. Step 6: Final answer
    x = 45,712.86

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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.