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Finding the Fourth Proportional to 159,019.74, 219,446.28 and 87,398.10

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Solution

The fourth proportional to 159,019.74, 219,446.28 and 87,398.10 is: 120,608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,019.74 : 219,446.28 = 87,398.10 : x
  2. Step 2: Convert to fraction form
    159,019.74/219,446.28 = 87,398.10/x
  3. Step 3: Cross multiply
    159,019.74x = 219,446.28 × 87,398.10
  4. Step 4: Simplify right side
    159,019.74x = 19,179,187,924.07
  5. Step 5: Solve for x
    x = 19,179,187,924.07/159,019.74
  6. Step 6: Final answer
    x = 120,608.85

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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.