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Finding the Fourth Proportional to 71,189.73, 106,784.60 and 18,599.13

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Solution

The fourth proportional to 71,189.73, 106,784.60 and 18,599.13 is: 27,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,189.73 : 106,784.60 = 18,599.13 : x
  2. Step 2: Convert to fraction form
    71,189.73/106,784.60 = 18,599.13/x
  3. Step 3: Cross multiply
    71,189.73x = 106,784.60 × 18,599.13
  4. Step 4: Simplify right side
    71,189.73x = 1,986,100,657.40
  5. Step 5: Solve for x
    x = 1,986,100,657.40/71,189.73
  6. Step 6: Final answer
    x = 27,898.70

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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.