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Finding the Fourth Proportional to 267,742.78, 401,359.02 and 90,158.38

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Solution

The fourth proportional to 267,742.78, 401,359.02 and 90,158.38 is: 135,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,742.78 : 401,359.02 = 90,158.38 : x
  2. Step 2: Convert to fraction form
    267,742.78/401,359.02 = 90,158.38/x
  3. Step 3: Cross multiply
    267,742.78x = 401,359.02 × 90,158.38
  4. Step 4: Simplify right side
    267,742.78x = 36,185,879,041.59
  5. Step 5: Solve for x
    x = 36,185,879,041.59/267,742.78
  6. Step 6: Final answer
    x = 135,151.65

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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.