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Finding the Fourth Proportional to 100,720.56, 150,944.82 and 38,357.04

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Solution

The fourth proportional to 100,720.56, 150,944.82 and 38,357.04 is: 57,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,720.56 : 150,944.82 = 38,357.04 : x
  2. Step 2: Convert to fraction form
    100,720.56/150,944.82 = 38,357.04/x
  3. Step 3: Cross multiply
    100,720.56x = 150,944.82 × 38,357.04
  4. Step 4: Simplify right side
    100,720.56x = 5,789,796,498.53
  5. Step 5: Solve for x
    x = 5,789,796,498.53/100,720.56
  6. Step 6: Final answer
    x = 57,483.76

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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.