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Finding the Fourth Proportional to 65,240, 97,860 and 15,992

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Solution

The fourth proportional to 65,240, 97,860 and 15,992 is: 23,988

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240 : 97,860 = 15,992 : x
  2. Step 2: Convert to fraction form
    65,240/97,860 = 15,992/x
  3. Step 3: Cross multiply
    65,240x = 97,860 × 15,992
  4. Step 4: Simplify right side
    65,240x = 1,564,977,120
  5. Step 5: Solve for x
    x = 1,564,977,120/65,240
  6. Step 6: Final answer
    x = 23,988

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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.