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Finding the Fourth Proportional to 105,489.44, 158,234.16 and 31,617.44

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Solution

The fourth proportional to 105,489.44, 158,234.16 and 31,617.44 is: 47,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,489.44 : 158,234.16 = 31,617.44 : x
  2. Step 2: Convert to fraction form
    105,489.44/158,234.16 = 31,617.44/x
  3. Step 3: Cross multiply
    105,489.44x = 158,234.16 × 31,617.44
  4. Step 4: Simplify right side
    105,489.44x = 5,002,958,901.66
  5. Step 5: Solve for x
    x = 5,002,958,901.66/105,489.44
  6. Step 6: Final answer
    x = 47,426.16

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1.5x scale

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.