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Finding the Fourth Proportional to 71,711.19, 107,566.79 and 19,120.86

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Solution

The fourth proportional to 71,711.19, 107,566.79 and 19,120.86 is: 28,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,711.19 : 107,566.79 = 19,120.86 : x
  2. Step 2: Convert to fraction form
    71,711.19/107,566.79 = 19,120.86/x
  3. Step 3: Cross multiply
    71,711.19x = 107,566.79 × 19,120.86
  4. Step 4: Simplify right side
    71,711.19x = 2,056,769,436.64
  5. Step 5: Solve for x
    x = 2,056,769,436.64/71,711.19
  6. Step 6: Final answer
    x = 28,681.29

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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.