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Finding the Fourth Proportional to 61,187.75, 91,781.62 and 21,746.42

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Solution

The fourth proportional to 61,187.75, 91,781.62 and 21,746.42 is: 32,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,187.75 : 91,781.62 = 21,746.42 : x
  2. Step 2: Convert to fraction form
    61,187.75/91,781.62 = 21,746.42/x
  3. Step 3: Cross multiply
    61,187.75x = 91,781.62 × 21,746.42
  4. Step 4: Simplify right side
    61,187.75x = 1,995,921,143.53
  5. Step 5: Solve for x
    x = 1,995,921,143.53/61,187.75
  6. Step 6: Final answer
    x = 32,619.62

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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.