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Finding the Fourth Proportional to 258,699.42, 356,996.16 and 143,974.26

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Solution

The fourth proportional to 258,699.42, 356,996.16 and 143,974.26 is: 198,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,699.42 : 356,996.16 = 143,974.26 : x
  2. Step 2: Convert to fraction form
    258,699.42/356,996.16 = 143,974.26/x
  3. Step 3: Cross multiply
    258,699.42x = 356,996.16 × 143,974.26
  4. Step 4: Simplify right side
    258,699.42x = 51,398,257,958.84
  5. Step 5: Solve for x
    x = 51,398,257,958.84/258,699.42
  6. Step 6: Final answer
    x = 198,679.45

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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.