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Finding the Fourth Proportional to 71,798.23, 107,712.89 and 21,877.02

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Solution

The fourth proportional to 71,798.23, 107,712.89 and 21,877.02 is: 32,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,798.23 : 107,712.89 = 21,877.02 : x
  2. Step 2: Convert to fraction form
    71,798.23/107,712.89 = 21,877.02/x
  3. Step 3: Cross multiply
    71,798.23x = 107,712.89 × 21,877.02
  4. Step 4: Simplify right side
    71,798.23x = 2,356,437,021.44
  5. Step 5: Solve for x
    x = 2,356,437,021.44/71,798.23
  6. Step 6: Final answer
    x = 32,820.27

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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.