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Finding the Fourth Proportional to 257,866.66, 386,791.39 and 106,058.49

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Solution

The fourth proportional to 257,866.66, 386,791.39 and 106,058.49 is: 159,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,866.66 : 386,791.39 = 106,058.49 : x
  2. Step 2: Convert to fraction form
    257,866.66/386,791.39 = 106,058.49/x
  3. Step 3: Cross multiply
    257,866.66x = 386,791.39 × 106,058.49
  4. Step 4: Simplify right side
    257,866.66x = 41,022,510,768.40
  5. Step 5: Solve for x
    x = 41,022,510,768.40/257,866.66
  6. Step 6: Final answer
    x = 159,084.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.