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Finding the Fourth Proportional to 142,202.88, 196,128 and 132,664.32

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Solution

The fourth proportional to 142,202.88, 196,128 and 132,664.32 is: 182,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,202.88 : 196,128 = 132,664.32 : x
  2. Step 2: Convert to fraction form
    142,202.88/196,128 = 132,664.32/x
  3. Step 3: Cross multiply
    142,202.88x = 196,128 × 132,664.32
  4. Step 4: Simplify right side
    142,202.88x = 26,019,187,752.96
  5. Step 5: Solve for x
    x = 26,019,187,752.96/142,202.88
  6. Step 6: Final answer
    x = 182,972.30

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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.