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Finding the Fourth Proportional to 101,138.30, 151,743.90 and 42,016.40

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Solution

The fourth proportional to 101,138.30, 151,743.90 and 42,016.40 is: 63,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,138.30 : 151,743.90 = 42,016.40 : x
  2. Step 2: Convert to fraction form
    101,138.30/151,743.90 = 42,016.40/x
  3. Step 3: Cross multiply
    101,138.30x = 151,743.90 × 42,016.40
  4. Step 4: Simplify right side
    101,138.30x = 6,375,732,399.96
  5. Step 5: Solve for x
    x = 6,375,732,399.96/101,138.30
  6. Step 6: Final answer
    x = 63,039.74

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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.