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Finding the Fourth Proportional to 71,709.93, 107,564.80 and 21,789.83

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Solution

The fourth proportional to 71,709.93, 107,564.80 and 21,789.83 is: 32,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.93 : 107,564.80 = 21,789.83 : x
  2. Step 2: Convert to fraction form
    71,709.93/107,564.80 = 21,789.83/x
  3. Step 3: Cross multiply
    71,709.93x = 107,564.80 × 21,789.83
  4. Step 4: Simplify right side
    71,709.93x = 2,343,818,705.98
  5. Step 5: Solve for x
    x = 2,343,818,705.98/71,709.93
  6. Step 6: Final answer
    x = 32,684.72

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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.