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Finding the Fourth Proportional to 258,687.68, 356,969.70 and 145,488.56

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Solution

The fourth proportional to 258,687.68, 356,969.70 and 145,488.56 is: 200,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,687.68 : 356,969.70 = 145,488.56 : x
  2. Step 2: Convert to fraction form
    258,687.68/356,969.70 = 145,488.56/x
  3. Step 3: Cross multiply
    258,687.68x = 356,969.70 × 145,488.56
  4. Step 4: Simplify right side
    258,687.68x = 51,935,007,616.63
  5. Step 5: Solve for x
    x = 51,935,007,616.63/258,687.68
  6. Step 6: Final answer
    x = 200,763.36

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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.