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Finding the Fourth Proportional to 65,460, 98,190 and 16,212

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Solution

The fourth proportional to 65,460, 98,190 and 16,212 is: 24,318

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,460 : 98,190 = 16,212 : x
  2. Step 2: Convert to fraction form
    65,460/98,190 = 16,212/x
  3. Step 3: Cross multiply
    65,460x = 98,190 × 16,212
  4. Step 4: Simplify right side
    65,460x = 1,591,856,280
  5. Step 5: Solve for x
    x = 1,591,856,280/65,460
  6. Step 6: Final answer
    x = 24,318

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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.