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Finding the Fourth Proportional to 104,199.42, 143,786.70 and 61,174.38

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Solution

The fourth proportional to 104,199.42, 143,786.70 and 61,174.38 is: 84,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,199.42 : 143,786.70 = 61,174.38 : x
  2. Step 2: Convert to fraction form
    104,199.42/143,786.70 = 61,174.38/x
  3. Step 3: Cross multiply
    104,199.42x = 143,786.70 × 61,174.38
  4. Step 4: Simplify right side
    104,199.42x = 8,796,062,224.75
  5. Step 5: Solve for x
    x = 8,796,062,224.75/104,199.42
  6. Step 6: Final answer
    x = 84,415.65

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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.