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Finding the Fourth Proportional to 65,291.42, 90,097.56 and 36,608.91

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Solution

The fourth proportional to 65,291.42, 90,097.56 and 36,608.91 is: 50,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,291.42 : 90,097.56 = 36,608.91 : x
  2. Step 2: Convert to fraction form
    65,291.42/90,097.56 = 36,608.91/x
  3. Step 3: Cross multiply
    65,291.42x = 90,097.56 × 36,608.91
  4. Step 4: Simplify right side
    65,291.42x = 3,298,373,465.26
  5. Step 5: Solve for x
    x = 3,298,373,465.26/65,291.42
  6. Step 6: Final answer
    x = 50,517.72

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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.