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Finding the Fourth Proportional to 71,100, 106,641.48 and 18,513.60

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Solution

The fourth proportional to 71,100, 106,641.48 and 18,513.60 is: 27,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,100 : 106,641.48 = 18,513.60 : x
  2. Step 2: Convert to fraction form
    71,100/106,641.48 = 18,513.60/x
  3. Step 3: Cross multiply
    71,100x = 106,641.48 × 18,513.60
  4. Step 4: Simplify right side
    71,100x = 1,974,317,704.13
  5. Step 5: Solve for x
    x = 1,974,317,704.13/71,100
  6. Step 6: Final answer
    x = 27,768.18

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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.