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Finding the Fourth Proportional to 90,106.40, 135,145.40 and 30,134.42

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Solution

The fourth proportional to 90,106.40, 135,145.40 and 30,134.42 is: 45,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,106.40 : 135,145.40 = 30,134.42 : x
  2. Step 2: Convert to fraction form
    90,106.40/135,145.40 = 30,134.42/x
  3. Step 3: Cross multiply
    90,106.40x = 135,145.40 × 30,134.42
  4. Step 4: Simplify right side
    90,106.40x = 4,072,527,418.27
  5. Step 5: Solve for x
    x = 4,072,527,418.27/90,106.40
  6. Step 6: Final answer
    x = 45,196.87

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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.