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Finding the Fourth Proportional to 219,020.70, 328,288.05 and 85,856.70

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Solution

The fourth proportional to 219,020.70, 328,288.05 and 85,856.70 is: 128,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,020.70 : 328,288.05 = 85,856.70 : x
  2. Step 2: Convert to fraction form
    219,020.70/328,288.05 = 85,856.70/x
  3. Step 3: Cross multiply
    219,020.70x = 328,288.05 × 85,856.70
  4. Step 4: Simplify right side
    219,020.70x = 28,185,728,622.44
  5. Step 5: Solve for x
    x = 28,185,728,622.44/219,020.70
  6. Step 6: Final answer
    x = 128,689.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.