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Finding the Fourth Proportional to 95,872.36, 143,857.16 and 64,642

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Solution

The fourth proportional to 95,872.36, 143,857.16 and 64,642 is: 96,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,872.36 : 143,857.16 = 64,642 : x
  2. Step 2: Convert to fraction form
    95,872.36/143,857.16 = 64,642/x
  3. Step 3: Cross multiply
    95,872.36x = 143,857.16 × 64,642
  4. Step 4: Simplify right side
    95,872.36x = 9,299,214,536.72
  5. Step 5: Solve for x
    x = 9,299,214,536.72/95,872.36
  6. Step 6: Final answer
    x = 96,995.78

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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.