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Finding the Fourth Proportional to 61,505, 92,257.50 and 17,729

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Solution

The fourth proportional to 61,505, 92,257.50 and 17,729 is: 26,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,505 : 92,257.50 = 17,729 : x
  2. Step 2: Convert to fraction form
    61,505/92,257.50 = 17,729/x
  3. Step 3: Cross multiply
    61,505x = 92,257.50 × 17,729
  4. Step 4: Simplify right side
    61,505x = 1,635,633,217.50
  5. Step 5: Solve for x
    x = 1,635,633,217.50/61,505
  6. Step 6: Final answer
    x = 26,593.50

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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.