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Finding the Fourth Proportional to 159,354.23, 219,904.89 and 91,411.43

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Solution

The fourth proportional to 159,354.23, 219,904.89 and 91,411.43 is: 126,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,354.23 : 219,904.89 = 91,411.43 : x
  2. Step 2: Convert to fraction form
    159,354.23/219,904.89 = 91,411.43/x
  3. Step 3: Cross multiply
    159,354.23x = 219,904.89 × 91,411.43
  4. Step 4: Simplify right side
    159,354.23x = 20,101,820,458.89
  5. Step 5: Solve for x
    x = 20,101,820,458.89/159,354.23
  6. Step 6: Final answer
    x = 126,145.51

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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.