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Finding the Fourth Proportional to 71,876.43, 107,814.65 and 19,291.23

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Solution

The fourth proportional to 71,876.43, 107,814.65 and 19,291.23 is: 28,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,876.43 : 107,814.65 = 19,291.23 : x
  2. Step 2: Convert to fraction form
    71,876.43/107,814.65 = 19,291.23/x
  3. Step 3: Cross multiply
    71,876.43x = 107,814.65 × 19,291.23
  4. Step 4: Simplify right side
    71,876.43x = 2,079,877,114.06
  5. Step 5: Solve for x
    x = 2,079,877,114.06/71,876.43
  6. Step 6: Final answer
    x = 28,936.85

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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.