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Finding the Fourth Proportional to 219,145.91, 328,585.82 and 85,866.48

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Solution

The fourth proportional to 219,145.91, 328,585.82 and 85,866.48 is: 128,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,145.91 : 328,585.82 = 85,866.48 : x
  2. Step 2: Convert to fraction form
    219,145.91/328,585.82 = 85,866.48/x
  3. Step 3: Cross multiply
    219,145.91x = 328,585.82 × 85,866.48
  4. Step 4: Simplify right side
    219,145.91x = 28,214,507,311.98
  5. Step 5: Solve for x
    x = 28,214,507,311.98/219,145.91
  6. Step 6: Final answer
    x = 128,747.59

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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.