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Finding the Fourth Proportional to 101,162.55, 151,743.78 and 30,084.89

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Solution

The fourth proportional to 101,162.55, 151,743.78 and 30,084.89 is: 45,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,162.55 : 151,743.78 = 30,084.89 : x
  2. Step 2: Convert to fraction form
    101,162.55/151,743.78 = 30,084.89/x
  3. Step 3: Cross multiply
    101,162.55x = 151,743.78 × 30,084.89
  4. Step 4: Simplify right side
    101,162.55x = 4,565,195,451.10
  5. Step 5: Solve for x
    x = 4,565,195,451.10/101,162.55
  6. Step 6: Final answer
    x = 45,127.33

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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.