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Finding the Fourth Proportional to 100,996, 151,494.08 and 38,666.56

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Solution

The fourth proportional to 100,996, 151,494.08 and 38,666.56 is: 57,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,996 : 151,494.08 = 38,666.56 : x
  2. Step 2: Convert to fraction form
    100,996/151,494.08 = 38,666.56/x
  3. Step 3: Cross multiply
    100,996x = 151,494.08 × 38,666.56
  4. Step 4: Simplify right side
    100,996x = 5,857,754,933.96
  5. Step 5: Solve for x
    x = 5,857,754,933.96/100,996
  6. Step 6: Final answer
    x = 57,999.87

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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.