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Finding the Fourth Proportional to 159,003.60, 219,414.34 and 87,382.08

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Solution

The fourth proportional to 159,003.60, 219,414.34 and 87,382.08 is: 120,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,003.60 : 219,414.34 = 87,382.08 : x
  2. Step 2: Convert to fraction form
    159,003.60/219,414.34 = 87,382.08/x
  3. Step 3: Cross multiply
    159,003.60x = 219,414.34 × 87,382.08
  4. Step 4: Simplify right side
    159,003.60x = 19,172,881,411.03
  5. Step 5: Solve for x
    x = 19,172,881,411.03/159,003.60
  6. Step 6: Final answer
    x = 120,581.43

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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.