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Finding the Fourth Proportional to 99,168, 136,688.64 and 68,997.12

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Solution

The fourth proportional to 99,168, 136,688.64 and 68,997.12 is: 95,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,168 : 136,688.64 = 68,997.12 : x
  2. Step 2: Convert to fraction form
    99,168/136,688.64 = 68,997.12/x
  3. Step 3: Cross multiply
    99,168x = 136,688.64 × 68,997.12
  4. Step 4: Simplify right side
    99,168x = 9,431,122,496.72
  5. Step 5: Solve for x
    x = 9,431,122,496.72/99,168
  6. Step 6: Final answer
    x = 95,102.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.