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Finding the Fourth Proportional to 102,963.78, 142,092.41 and 57,640.59

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Solution

The fourth proportional to 102,963.78, 142,092.41 and 57,640.59 is: 79,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,963.78 : 142,092.41 = 57,640.59 : x
  2. Step 2: Convert to fraction form
    102,963.78/142,092.41 = 57,640.59/x
  3. Step 3: Cross multiply
    102,963.78x = 142,092.41 × 57,640.59
  4. Step 4: Simplify right side
    102,963.78x = 8,190,290,058.72
  5. Step 5: Solve for x
    x = 8,190,290,058.72/102,963.78
  6. Step 6: Final answer
    x = 79,545.35

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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.