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Finding the Fourth Proportional to 258,205.25, 356,356.66 and 145,028

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Solution

The fourth proportional to 258,205.25, 356,356.66 and 145,028 is: 200,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,205.25 : 356,356.66 = 145,028 : x
  2. Step 2: Convert to fraction form
    258,205.25/356,356.66 = 145,028/x
  3. Step 3: Cross multiply
    258,205.25x = 356,356.66 × 145,028
  4. Step 4: Simplify right side
    258,205.25x = 51,681,693,686.48
  5. Step 5: Solve for x
    x = 51,681,693,686.48/258,205.25
  6. Step 6: Final answer
    x = 200,157.41

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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.