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Finding the Fourth Proportional to 65,829.57, 90,847.14 and 37,156.21

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Solution

The fourth proportional to 65,829.57, 90,847.14 and 37,156.21 is: 51,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,829.57 : 90,847.14 = 37,156.21 : x
  2. Step 2: Convert to fraction form
    65,829.57/90,847.14 = 37,156.21/x
  3. Step 3: Cross multiply
    65,829.57x = 90,847.14 × 37,156.21
  4. Step 4: Simplify right side
    65,829.57x = 3,375,534,771.72
  5. Step 5: Solve for x
    x = 3,375,534,771.72/65,829.57
  6. Step 6: Final answer
    x = 51,276.88

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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.