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Finding the Fourth Proportional to 139,728.54, 192,824.40 and 76,066.17

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Solution

The fourth proportional to 139,728.54, 192,824.40 and 76,066.17 is: 104,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,728.54 : 192,824.40 = 76,066.17 : x
  2. Step 2: Convert to fraction form
    139,728.54/192,824.40 = 76,066.17/x
  3. Step 3: Cross multiply
    139,728.54x = 192,824.40 × 76,066.17
  4. Step 4: Simplify right side
    139,728.54x = 14,667,413,590.55
  5. Step 5: Solve for x
    x = 14,667,413,590.55/139,728.54
  6. Step 6: Final answer
    x = 104,970.78

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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.