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Finding the Fourth Proportional to 100,542.56, 150,816 and 30,421.76

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Solution

The fourth proportional to 100,542.56, 150,816 and 30,421.76 is: 45,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542.56 : 150,816 = 30,421.76 : x
  2. Step 2: Convert to fraction form
    100,542.56/150,816 = 30,421.76/x
  3. Step 3: Cross multiply
    100,542.56x = 150,816 × 30,421.76
  4. Step 4: Simplify right side
    100,542.56x = 4,588,088,156.16
  5. Step 5: Solve for x
    x = 4,588,088,156.16/100,542.56
  6. Step 6: Final answer
    x = 45,633.29

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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.