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Finding the Fourth Proportional to 142,590.78, 196,772.90 and 78,927.21

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Solution

The fourth proportional to 142,590.78, 196,772.90 and 78,927.21 is: 108,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,590.78 : 196,772.90 = 78,927.21 : x
  2. Step 2: Convert to fraction form
    142,590.78/196,772.90 = 78,927.21/x
  3. Step 3: Cross multiply
    142,590.78x = 196,772.90 × 78,927.21
  4. Step 4: Simplify right side
    142,590.78x = 15,530,735,605.97
  5. Step 5: Solve for x
    x = 15,530,735,605.97/142,590.78
  6. Step 6: Final answer
    x = 108,918.23

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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.