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Finding the Fourth Proportional to 76,894.42, 115,241.15 and 39,422.74

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Solution

The fourth proportional to 76,894.42, 115,241.15 and 39,422.74 is: 59,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,894.42 : 115,241.15 = 39,422.74 : x
  2. Step 2: Convert to fraction form
    76,894.42/115,241.15 = 39,422.74/x
  3. Step 3: Cross multiply
    76,894.42x = 115,241.15 × 39,422.74
  4. Step 4: Simplify right side
    76,894.42x = 4,543,121,893.75
  5. Step 5: Solve for x
    x = 4,543,121,893.75/76,894.42
  6. Step 6: Final answer
    x = 59,082.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.