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Finding the Fourth Proportional to 71,767.47, 107,662.80 and 21,835.81

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Solution

The fourth proportional to 71,767.47, 107,662.80 and 21,835.81 is: 32,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,767.47 : 107,662.80 = 21,835.81 : x
  2. Step 2: Convert to fraction form
    71,767.47/107,662.80 = 21,835.81/x
  3. Step 3: Cross multiply
    71,767.47x = 107,662.80 × 21,835.81
  4. Step 4: Simplify right side
    71,767.47x = 2,350,904,538.50
  5. Step 5: Solve for x
    x = 2,350,904,538.50/71,767.47
  6. Step 6: Final answer
    x = 32,757.24

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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.