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Finding the Fourth Proportional to 267,538.64, 401,369.72 and 90,041.31

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Solution

The fourth proportional to 267,538.64, 401,369.72 and 90,041.31 is: 135,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,538.64 : 401,369.72 = 90,041.31 : x
  2. Step 2: Convert to fraction form
    267,538.64/401,369.72 = 90,041.31/x
  3. Step 3: Cross multiply
    267,538.64x = 401,369.72 × 90,041.31
  4. Step 4: Simplify right side
    267,538.64x = 36,139,854,932.93
  5. Step 5: Solve for x
    x = 36,139,854,932.93/267,538.64
  6. Step 6: Final answer
    x = 135,082.75

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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.