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Finding the Fourth Proportional to 159,036.56, 219,470.52 and 87,416

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Solution

The fourth proportional to 159,036.56, 219,470.52 and 87,416 is: 120,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,036.56 : 219,470.52 = 87,416 : x
  2. Step 2: Convert to fraction form
    159,036.56/219,470.52 = 87,416/x
  3. Step 3: Cross multiply
    159,036.56x = 219,470.52 × 87,416
  4. Step 4: Simplify right side
    159,036.56x = 19,185,234,976.32
  5. Step 5: Solve for x
    x = 19,185,234,976.32/159,036.56
  6. Step 6: Final answer
    x = 120,634.12

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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.