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Finding the Fourth Proportional to 71,843.90, 107,782.58 and 21,923.89

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Solution

The fourth proportional to 71,843.90, 107,782.58 and 21,923.89 is: 32,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,843.90 : 107,782.58 = 21,923.89 : x
  2. Step 2: Convert to fraction form
    71,843.90/107,782.58 = 21,923.89/x
  3. Step 3: Cross multiply
    71,843.90x = 107,782.58 × 21,923.89
  4. Step 4: Simplify right side
    71,843.90x = 2,363,013,213.19
  5. Step 5: Solve for x
    x = 2,363,013,213.19/71,843.90
  6. Step 6: Final answer
    x = 32,890.94

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1.5x scale

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.