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Finding the Fourth Proportional to 267,185.82, 400,805.07 and 77,647.86

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Solution

The fourth proportional to 267,185.82, 400,805.07 and 77,647.86 is: 116,479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,185.82 : 400,805.07 = 77,647.86 : x
  2. Step 2: Convert to fraction form
    267,185.82/400,805.07 = 77,647.86/x
  3. Step 3: Cross multiply
    267,185.82x = 400,805.07 × 77,647.86
  4. Step 4: Simplify right side
    267,185.82x = 31,121,655,962.65
  5. Step 5: Solve for x
    x = 31,121,655,962.65/267,185.82
  6. Step 6: Final answer
    x = 116,479.44

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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.