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Finding the Fourth Proportional to 258,165.28, 356,283.90 and 144,988

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Solution

The fourth proportional to 258,165.28, 356,283.90 and 144,988 is: 200,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,165.28 : 356,283.90 = 144,988 : x
  2. Step 2: Convert to fraction form
    258,165.28/356,283.90 = 144,988/x
  3. Step 3: Cross multiply
    258,165.28x = 356,283.90 × 144,988
  4. Step 4: Simplify right side
    258,165.28x = 51,656,890,093.20
  5. Step 5: Solve for x
    x = 51,656,890,093.20/258,165.28
  6. Step 6: Final answer
    x = 200,092.32

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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.