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Finding the Fourth Proportional to 65,342, 98,013 and 28,406

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Solution

The fourth proportional to 65,342, 98,013 and 28,406 is: 42,609

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342 : 98,013 = 28,406 : x
  2. Step 2: Convert to fraction form
    65,342/98,013 = 28,406/x
  3. Step 3: Cross multiply
    65,342x = 98,013 × 28,406
  4. Step 4: Simplify right side
    65,342x = 2,784,157,278
  5. Step 5: Solve for x
    x = 2,784,157,278/65,342
  6. Step 6: Final answer
    x = 42,609

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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.