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Finding the Fourth Proportional to 105,147.66, 157,697.91 and 30,251.10

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Solution

The fourth proportional to 105,147.66, 157,697.91 and 30,251.10 is: 45,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,147.66 : 157,697.91 = 30,251.10 : x
  2. Step 2: Convert to fraction form
    105,147.66/157,697.91 = 30,251.10/x
  3. Step 3: Cross multiply
    105,147.66x = 157,697.91 × 30,251.10
  4. Step 4: Simplify right side
    105,147.66x = 4,770,535,245.20
  5. Step 5: Solve for x
    x = 4,770,535,245.20/105,147.66
  6. Step 6: Final answer
    x = 45,369.87

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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.