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Finding the Fourth Proportional to 71,842.95, 107,781.18 and 21,922.95

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Solution

The fourth proportional to 71,842.95, 107,781.18 and 21,922.95 is: 32,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,842.95 : 107,781.18 = 21,922.95 : x
  2. Step 2: Convert to fraction form
    71,842.95/107,781.18 = 21,922.95/x
  3. Step 3: Cross multiply
    71,842.95x = 107,781.18 × 21,922.95
  4. Step 4: Simplify right side
    71,842.95x = 2,362,881,420.08
  5. Step 5: Solve for x
    x = 2,362,881,420.08/71,842.95
  6. Step 6: Final answer
    x = 32,889.54

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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.