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Finding the Fourth Proportional to 105,524, 158,286 and 31,652

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Solution

The fourth proportional to 105,524, 158,286 and 31,652 is: 47,478

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,524 : 158,286 = 31,652 : x
  2. Step 2: Convert to fraction form
    105,524/158,286 = 31,652/x
  3. Step 3: Cross multiply
    105,524x = 158,286 × 31,652
  4. Step 4: Simplify right side
    105,524x = 5,010,068,472
  5. Step 5: Solve for x
    x = 5,010,068,472/105,524
  6. Step 6: Final answer
    x = 47,478

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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.