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Finding the Fourth Proportional to 71,782.83, 107,678.61 and 21,866.58

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Solution

The fourth proportional to 71,782.83, 107,678.61 and 21,866.58 is: 32,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,782.83 : 107,678.61 = 21,866.58 : x
  2. Step 2: Convert to fraction form
    71,782.83/107,678.61 = 21,866.58/x
  3. Step 3: Cross multiply
    71,782.83x = 107,678.61 × 21,866.58
  4. Step 4: Simplify right side
    71,782.83x = 2,354,562,939.85
  5. Step 5: Solve for x
    x = 2,354,562,939.85/71,782.83
  6. Step 6: Final answer
    x = 32,801.20

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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.