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Finding the Fourth Proportional to 130,158, 195,237 and 31,662

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Solution

The fourth proportional to 130,158, 195,237 and 31,662 is: 47,493

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,158 : 195,237 = 31,662 : x
  2. Step 2: Convert to fraction form
    130,158/195,237 = 31,662/x
  3. Step 3: Cross multiply
    130,158x = 195,237 × 31,662
  4. Step 4: Simplify right side
    130,158x = 6,181,593,894
  5. Step 5: Solve for x
    x = 6,181,593,894/130,158
  6. Step 6: Final answer
    x = 47,493

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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.