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Finding the Fourth Proportional to 85,896.88, 118,569.17 and 51,906.65

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Solution

The fourth proportional to 85,896.88, 118,569.17 and 51,906.65 is: 71,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,896.88 : 118,569.17 = 51,906.65 : x
  2. Step 2: Convert to fraction form
    85,896.88/118,569.17 = 51,906.65/x
  3. Step 3: Cross multiply
    85,896.88x = 118,569.17 × 51,906.65
  4. Step 4: Simplify right side
    85,896.88x = 6,154,527,852.02
  5. Step 5: Solve for x
    x = 6,154,527,852.02/85,896.88
  6. Step 6: Final answer
    x = 71,650.19

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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.