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Finding the Fourth Proportional to 159,015.68, 219,350.27 and 99,296

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Solution

The fourth proportional to 159,015.68, 219,350.27 and 99,296 is: 136,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,015.68 : 219,350.27 = 99,296 : x
  2. Step 2: Convert to fraction form
    159,015.68/219,350.27 = 99,296/x
  3. Step 3: Cross multiply
    159,015.68x = 219,350.27 × 99,296
  4. Step 4: Simplify right side
    159,015.68x = 21,780,603,913.44
  5. Step 5: Solve for x
    x = 21,780,603,913.44/159,015.68
  6. Step 6: Final answer
    x = 136,971.42

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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.