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Finding the Fourth Proportional to 258,106.80, 356,175.82 and 143,393.49

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Solution

The fourth proportional to 258,106.80, 356,175.82 and 143,393.49 is: 197,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,106.80 : 356,175.82 = 143,393.49 : x
  2. Step 2: Convert to fraction form
    258,106.80/356,175.82 = 143,393.49/x
  3. Step 3: Cross multiply
    258,106.80x = 356,175.82 × 143,393.49
  4. Step 4: Simplify right side
    258,106.80x = 51,073,291,385.57
  5. Step 5: Solve for x
    x = 51,073,291,385.57/258,106.80
  6. Step 6: Final answer
    x = 197,876.58

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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.