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Finding the Fourth Proportional to 65,963.70, 91,029.96 and 38,734.47

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Solution

The fourth proportional to 65,963.70, 91,029.96 and 38,734.47 is: 53,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,963.70 : 91,029.96 = 38,734.47 : x
  2. Step 2: Convert to fraction form
    65,963.70/91,029.96 = 38,734.47/x
  3. Step 3: Cross multiply
    65,963.70x = 91,029.96 × 38,734.47
  4. Step 4: Simplify right side
    65,963.70x = 3,525,997,254.72
  5. Step 5: Solve for x
    x = 3,525,997,254.72/65,963.70
  6. Step 6: Final answer
    x = 53,453.60

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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.