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Finding the Fourth Proportional to 130,468, 195,702 and 31,972

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Solution

The fourth proportional to 130,468, 195,702 and 31,972 is: 47,958

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,468 : 195,702 = 31,972 : x
  2. Step 2: Convert to fraction form
    130,468/195,702 = 31,972/x
  3. Step 3: Cross multiply
    130,468x = 195,702 × 31,972
  4. Step 4: Simplify right side
    130,468x = 6,256,984,344
  5. Step 5: Solve for x
    x = 6,256,984,344/130,468
  6. Step 6: Final answer
    x = 47,958

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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.