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Finding the Fourth Proportional to 65,891.85, 90,945.71 and 51,523.26

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Solution

The fourth proportional to 65,891.85, 90,945.71 and 51,523.26 is: 71,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,891.85 : 90,945.71 = 51,523.26 : x
  2. Step 2: Convert to fraction form
    65,891.85/90,945.71 = 51,523.26/x
  3. Step 3: Cross multiply
    65,891.85x = 90,945.71 × 51,523.26
  4. Step 4: Simplify right side
    65,891.85x = 4,685,819,204.60
  5. Step 5: Solve for x
    x = 4,685,819,204.60/65,891.85
  6. Step 6: Final answer
    x = 71,113.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.