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Finding the Fourth Proportional to 65,241.78, 89,947.98 and 47,077.26

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Solution

The fourth proportional to 65,241.78, 89,947.98 and 47,077.26 is: 64,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,241.78 : 89,947.98 = 47,077.26 : x
  2. Step 2: Convert to fraction form
    65,241.78/89,947.98 = 47,077.26/x
  3. Step 3: Cross multiply
    65,241.78x = 89,947.98 × 47,077.26
  4. Step 4: Simplify right side
    65,241.78x = 4,234,504,440.93
  5. Step 5: Solve for x
    x = 4,234,504,440.93/65,241.78
  6. Step 6: Final answer
    x = 64,904.80

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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.