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Finding the Fourth Proportional to 219,032.92, 328,584.84 and 85,840.96

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Solution

The fourth proportional to 219,032.92, 328,584.84 and 85,840.96 is: 128,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,032.92 : 328,584.84 = 85,840.96 : x
  2. Step 2: Convert to fraction form
    219,032.92/328,584.84 = 85,840.96/x
  3. Step 3: Cross multiply
    219,032.92x = 328,584.84 × 85,840.96
  4. Step 4: Simplify right side
    219,032.92x = 28,206,038,107.05
  5. Step 5: Solve for x
    x = 28,206,038,107.05/219,032.92
  6. Step 6: Final answer
    x = 128,775.34

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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.