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Finding the Fourth Proportional to 159,843.78, 220,664.52 and 99,433.98

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Solution

The fourth proportional to 159,843.78, 220,664.52 and 99,433.98 is: 137,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,843.78 : 220,664.52 = 99,433.98 : x
  2. Step 2: Convert to fraction form
    159,843.78/220,664.52 = 99,433.98/x
  3. Step 3: Cross multiply
    159,843.78x = 220,664.52 × 99,433.98
  4. Step 4: Simplify right side
    159,843.78x = 21,941,551,468.39
  5. Step 5: Solve for x
    x = 21,941,551,468.39/159,843.78
  6. Step 6: Final answer
    x = 137,268.72

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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.