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Finding the Fourth Proportional to 65,207.64, 90,041.70 and 41,376.60

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Solution

The fourth proportional to 65,207.64, 90,041.70 and 41,376.60 is: 57,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.64 : 90,041.70 = 41,376.60 : x
  2. Step 2: Convert to fraction form
    65,207.64/90,041.70 = 41,376.60/x
  3. Step 3: Cross multiply
    65,207.64x = 90,041.70 × 41,376.60
  4. Step 4: Simplify right side
    65,207.64x = 3,725,619,404.22
  5. Step 5: Solve for x
    x = 3,725,619,404.22/65,207.64
  6. Step 6: Final answer
    x = 57,134.71

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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.