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Finding the Fourth Proportional to 61,436.25, 92,169 and 19,883.25

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Solution

The fourth proportional to 61,436.25, 92,169 and 19,883.25 is: 29,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,436.25 : 92,169 = 19,883.25 : x
  2. Step 2: Convert to fraction form
    61,436.25/92,169 = 19,883.25/x
  3. Step 3: Cross multiply
    61,436.25x = 92,169 × 19,883.25
  4. Step 4: Simplify right side
    61,436.25x = 1,832,619,269.25
  5. Step 5: Solve for x
    x = 1,832,619,269.25/61,436.25
  6. Step 6: Final answer
    x = 29,829.61

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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.