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Finding the Fourth Proportional to 71,787.83, 107,697.29 and 21,866.58

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Solution

The fourth proportional to 71,787.83, 107,697.29 and 21,866.58 is: 32,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,787.83 : 107,697.29 = 21,866.58 : x
  2. Step 2: Convert to fraction form
    71,787.83/107,697.29 = 21,866.58/x
  3. Step 3: Cross multiply
    71,787.83x = 107,697.29 × 21,866.58
  4. Step 4: Simplify right side
    71,787.83x = 2,354,971,298.24
  5. Step 5: Solve for x
    x = 2,354,971,298.24/71,787.83
  6. Step 6: Final answer
    x = 32,804.61

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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.