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Finding the Fourth Proportional to 267,135.72, 400,611.31 and 77,544.69

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Solution

The fourth proportional to 267,135.72, 400,611.31 and 77,544.69 is: 116,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,135.72 : 400,611.31 = 77,544.69 : x
  2. Step 2: Convert to fraction form
    267,135.72/400,611.31 = 77,544.69/x
  3. Step 3: Cross multiply
    267,135.72x = 400,611.31 × 77,544.69
  4. Step 4: Simplify right side
    267,135.72x = 31,065,277,841.39
  5. Step 5: Solve for x
    x = 31,065,277,841.39/267,135.72
  6. Step 6: Final answer
    x = 116,290.25

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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.