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Finding the Fourth Proportional to 100,443.52, 150,606.96 and 38,080

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Solution

The fourth proportional to 100,443.52, 150,606.96 and 38,080 is: 57,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,443.52 : 150,606.96 = 38,080 : x
  2. Step 2: Convert to fraction form
    100,443.52/150,606.96 = 38,080/x
  3. Step 3: Cross multiply
    100,443.52x = 150,606.96 × 38,080
  4. Step 4: Simplify right side
    100,443.52x = 5,735,113,036.80
  5. Step 5: Solve for x
    x = 5,735,113,036.80/100,443.52
  6. Step 6: Final answer
    x = 57,097.89

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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.