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Finding the Fourth Proportional to 71,777.16, 107,653.68 and 21,845.16

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Solution

The fourth proportional to 71,777.16, 107,653.68 and 21,845.16 is: 32,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,777.16 : 107,653.68 = 21,845.16 : x
  2. Step 2: Convert to fraction form
    71,777.16/107,653.68 = 21,845.16/x
  3. Step 3: Cross multiply
    71,777.16x = 107,653.68 × 21,845.16
  4. Step 4: Simplify right side
    71,777.16x = 2,351,711,864.19
  5. Step 5: Solve for x
    x = 2,351,711,864.19/71,777.16
  6. Step 6: Final answer
    x = 32,764.07

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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.