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Finding the Fourth Proportional to 65,234, 97,851 and 15,986

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Solution

The fourth proportional to 65,234, 97,851 and 15,986 is: 23,979

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234 : 97,851 = 15,986 : x
  2. Step 2: Convert to fraction form
    65,234/97,851 = 15,986/x
  3. Step 3: Cross multiply
    65,234x = 97,851 × 15,986
  4. Step 4: Simplify right side
    65,234x = 1,564,246,086
  5. Step 5: Solve for x
    x = 1,564,246,086/65,234
  6. Step 6: Final answer
    x = 23,979

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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.