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Finding the Fourth Proportional to 267,078.26, 400,656.98 and 77,540.19

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Solution

The fourth proportional to 267,078.26, 400,656.98 and 77,540.19 is: 116,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,078.26 : 400,656.98 = 77,540.19 : x
  2. Step 2: Convert to fraction form
    267,078.26/400,656.98 = 77,540.19/x
  3. Step 3: Cross multiply
    267,078.26x = 400,656.98 × 77,540.19
  4. Step 4: Simplify right side
    267,078.26x = 31,067,017,045.41
  5. Step 5: Solve for x
    x = 31,067,017,045.41/267,078.26
  6. Step 6: Final answer
    x = 116,321.77

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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.