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Finding the Fourth Proportional to 65,265.42, 90,071.78 and 36,584.62

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Solution

The fourth proportional to 65,265.42, 90,071.78 and 36,584.62 is: 50,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,265.42 : 90,071.78 = 36,584.62 : x
  2. Step 2: Convert to fraction form
    65,265.42/90,071.78 = 36,584.62/x
  3. Step 3: Cross multiply
    65,265.42x = 90,071.78 × 36,584.62
  4. Step 4: Simplify right side
    65,265.42x = 3,295,241,641.71
  5. Step 5: Solve for x
    x = 3,295,241,641.71/65,265.42
  6. Step 6: Final answer
    x = 50,489.86

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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.