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Finding the Fourth Proportional to 267,878.76, 401,805.16 and 99,431.92

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Solution

The fourth proportional to 267,878.76, 401,805.16 and 99,431.92 is: 149,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,878.76 : 401,805.16 = 99,431.92 : x
  2. Step 2: Convert to fraction form
    267,878.76/401,805.16 = 99,431.92/x
  3. Step 3: Cross multiply
    267,878.76x = 401,805.16 × 99,431.92
  4. Step 4: Simplify right side
    267,878.76x = 39,952,258,524.71
  5. Step 5: Solve for x
    x = 39,952,258,524.71/267,878.76
  6. Step 6: Final answer
    x = 149,143.06

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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.