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Finding the Fourth Proportional to 142,722, 196,956.36 and 86,133.38

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Solution

The fourth proportional to 142,722, 196,956.36 and 86,133.38 is: 118,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,722 : 196,956.36 = 86,133.38 : x
  2. Step 2: Convert to fraction form
    142,722/196,956.36 = 86,133.38/x
  3. Step 3: Cross multiply
    142,722x = 196,956.36 × 86,133.38
  4. Step 4: Simplify right side
    142,722x = 16,964,516,014.52
  5. Step 5: Solve for x
    x = 16,964,516,014.52/142,722
  6. Step 6: Final answer
    x = 118,864.06

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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.