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Finding the Fourth Proportional to 71,708.93, 107,563.31 and 21,788.83

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Solution

The fourth proportional to 71,708.93, 107,563.31 and 21,788.83 is: 32,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,708.93 : 107,563.31 = 21,788.83 : x
  2. Step 2: Convert to fraction form
    71,708.93/107,563.31 = 21,788.83/x
  3. Step 3: Cross multiply
    71,708.93x = 107,563.31 × 21,788.83
  4. Step 4: Simplify right side
    71,708.93x = 2,343,678,029.07
  5. Step 5: Solve for x
    x = 2,343,678,029.07/71,708.93
  6. Step 6: Final answer
    x = 32,683.21

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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.