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Finding the Fourth Proportional to 101,155.89, 151,686.68 and 30,052.42

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Solution

The fourth proportional to 101,155.89, 151,686.68 and 30,052.42 is: 45,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,155.89 : 151,686.68 = 30,052.42 : x
  2. Step 2: Convert to fraction form
    101,155.89/151,686.68 = 30,052.42/x
  3. Step 3: Cross multiply
    101,155.89x = 151,686.68 × 30,052.42
  4. Step 4: Simplify right side
    101,155.89x = 4,558,551,286.29
  5. Step 5: Solve for x
    x = 4,558,551,286.29/101,155.89
  6. Step 6: Final answer
    x = 45,064.62

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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.