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Finding the Fourth Proportional to 71,383.10, 106,945.05 and 43,648.70

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Solution

The fourth proportional to 71,383.10, 106,945.05 and 43,648.70 is: 65,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383.10 : 106,945.05 = 43,648.70 : x
  2. Step 2: Convert to fraction form
    71,383.10/106,945.05 = 43,648.70/x
  3. Step 3: Cross multiply
    71,383.10x = 106,945.05 × 43,648.70
  4. Step 4: Simplify right side
    71,383.10x = 4,668,012,403.94
  5. Step 5: Solve for x
    x = 4,668,012,403.94/71,383.10
  6. Step 6: Final answer
    x = 65,393.80

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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.