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Finding the Fourth Proportional to 159,788, 220,514.46 and 91,826.84

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Solution

The fourth proportional to 159,788, 220,514.46 and 91,826.84 is: 126,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,788 : 220,514.46 = 91,826.84 : x
  2. Step 2: Convert to fraction form
    159,788/220,514.46 = 91,826.84/x
  3. Step 3: Cross multiply
    159,788x = 220,514.46 × 91,826.84
  4. Step 4: Simplify right side
    159,788x = 20,249,146,036.11
  5. Step 5: Solve for x
    x = 20,249,146,036.11/159,788
  6. Step 6: Final answer
    x = 126,725.07

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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.