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Finding the Fourth Proportional to 258,101.84, 356,237.43 and 143,419.82

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Solution

The fourth proportional to 258,101.84, 356,237.43 and 143,419.82 is: 197,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,101.84 : 356,237.43 = 143,419.82 : x
  2. Step 2: Convert to fraction form
    258,101.84/356,237.43 = 143,419.82/x
  3. Step 3: Cross multiply
    258,101.84x = 356,237.43 × 143,419.82
  4. Step 4: Simplify right side
    258,101.84x = 51,091,505,768.85
  5. Step 5: Solve for x
    x = 51,091,505,768.85/258,101.84
  6. Step 6: Final answer
    x = 197,950.95

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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.