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Finding the Fourth Proportional to 67,810, 101,715 and 26,257

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Solution

The fourth proportional to 67,810, 101,715 and 26,257 is: 39,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,810 : 101,715 = 26,257 : x
  2. Step 2: Convert to fraction form
    67,810/101,715 = 26,257/x
  3. Step 3: Cross multiply
    67,810x = 101,715 × 26,257
  4. Step 4: Simplify right side
    67,810x = 2,670,730,755
  5. Step 5: Solve for x
    x = 2,670,730,755/67,810
  6. Step 6: Final answer
    x = 39,385.50

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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.