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Finding the Fourth Proportional to 142,086, 196,056.36 and 81,644.97

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Solution

The fourth proportional to 142,086, 196,056.36 and 81,644.97 is: 112,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086 : 196,056.36 = 81,644.97 : x
  2. Step 2: Convert to fraction form
    142,086/196,056.36 = 81,644.97/x
  3. Step 3: Cross multiply
    142,086x = 196,056.36 × 81,644.97
  4. Step 4: Simplify right side
    142,086x = 16,007,015,630.51
  5. Step 5: Solve for x
    x = 16,007,015,630.51/142,086
  6. Step 6: Final answer
    x = 112,657.23

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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.