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Finding the Fourth Proportional to 65,340, 98,010 and 28,404

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Solution

The fourth proportional to 65,340, 98,010 and 28,404 is: 42,606

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,340 : 98,010 = 28,404 : x
  2. Step 2: Convert to fraction form
    65,340/98,010 = 28,404/x
  3. Step 3: Cross multiply
    65,340x = 98,010 × 28,404
  4. Step 4: Simplify right side
    65,340x = 2,783,876,040
  5. Step 5: Solve for x
    x = 2,783,876,040/65,340
  6. Step 6: Final answer
    x = 42,606

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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.