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Finding the Fourth Proportional to 105,487.31, 158,230.97 and 31,615.31

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Solution

The fourth proportional to 105,487.31, 158,230.97 and 31,615.31 is: 47,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,487.31 : 158,230.97 = 31,615.31 : x
  2. Step 2: Convert to fraction form
    105,487.31/158,230.97 = 31,615.31/x
  3. Step 3: Cross multiply
    105,487.31x = 158,230.97 × 31,615.31
  4. Step 4: Simplify right side
    105,487.31x = 5,002,521,524.21
  5. Step 5: Solve for x
    x = 5,002,521,524.21/105,487.31
  6. Step 6: Final answer
    x = 47,422.97

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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.