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Finding the Fourth Proportional to 267,720, 401,580.96 and 70,728

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Solution

The fourth proportional to 267,720, 401,580.96 and 70,728 is: 106,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,720 : 401,580.96 = 70,728 : x
  2. Step 2: Convert to fraction form
    267,720/401,580.96 = 70,728/x
  3. Step 3: Cross multiply
    267,720x = 401,580.96 × 70,728
  4. Step 4: Simplify right side
    267,720x = 28,403,018,138.88
  5. Step 5: Solve for x
    x = 28,403,018,138.88/267,720
  6. Step 6: Final answer
    x = 106,092.25

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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.