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Finding the Fourth Proportional to 143,692, 196,858.99 and 138,304.84

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Solution

The fourth proportional to 143,692, 196,858.99 and 138,304.84 is: 189,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,692 : 196,858.99 = 138,304.84 : x
  2. Step 2: Convert to fraction form
    143,692/196,858.99 = 138,304.84/x
  3. Step 3: Cross multiply
    143,692x = 196,858.99 × 138,304.84
  4. Step 4: Simplify right side
    143,692x = 27,226,551,114.51
  5. Step 5: Solve for x
    x = 27,226,551,114.51/143,692
  6. Step 6: Final answer
    x = 189,478.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.