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Finding the Fourth Proportional to 159,189.47, 219,676.80 and 87,569.45

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Solution

The fourth proportional to 159,189.47, 219,676.80 and 87,569.45 is: 120,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,189.47 : 219,676.80 = 87,569.45 : x
  2. Step 2: Convert to fraction form
    159,189.47/219,676.80 = 87,569.45/x
  3. Step 3: Cross multiply
    159,189.47x = 219,676.80 × 87,569.45
  4. Step 4: Simplify right side
    159,189.47x = 19,236,976,553.76
  5. Step 5: Solve for x
    x = 19,236,976,553.76/159,189.47
  6. Step 6: Final answer
    x = 120,843.27

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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.