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Finding the Fourth Proportional to 159,381.96, 219,917.04 and 98,967.30

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Solution

The fourth proportional to 159,381.96, 219,917.04 and 98,967.30 is: 136,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,381.96 : 219,917.04 = 98,967.30 : x
  2. Step 2: Convert to fraction form
    159,381.96/219,917.04 = 98,967.30/x
  3. Step 3: Cross multiply
    159,381.96x = 219,917.04 × 98,967.30
  4. Step 4: Simplify right side
    159,381.96x = 21,764,595,672.79
  5. Step 5: Solve for x
    x = 21,764,595,672.79/159,381.96
  6. Step 6: Final answer
    x = 136,556.21

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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.