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Finding the Fourth Proportional to 159,764.64, 239,121.72 and 142,268.64

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Solution

The fourth proportional to 159,764.64, 239,121.72 and 142,268.64 is: 212,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,764.64 : 239,121.72 = 142,268.64 : x
  2. Step 2: Convert to fraction form
    159,764.64/239,121.72 = 142,268.64/x
  3. Step 3: Cross multiply
    159,764.64x = 239,121.72 × 142,268.64
  4. Step 4: Simplify right side
    159,764.64x = 34,019,521,898.86
  5. Step 5: Solve for x
    x = 34,019,521,898.86/159,764.64
  6. Step 6: Final answer
    x = 212,935.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.