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Finding the Fourth Proportional to 267,858.78, 401,807.61 and 80,884.86

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Solution

The fourth proportional to 267,858.78, 401,807.61 and 80,884.86 is: 121,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,858.78 : 401,807.61 = 80,884.86 : x
  2. Step 2: Convert to fraction form
    267,858.78/401,807.61 = 80,884.86/x
  3. Step 3: Cross multiply
    267,858.78x = 401,807.61 × 80,884.86
  4. Step 4: Simplify right side
    267,858.78x = 32,500,152,281.78
  5. Step 5: Solve for x
    x = 32,500,152,281.78/267,858.78
  6. Step 6: Final answer
    x = 121,333.16

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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.