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Finding the Fourth Proportional to 72,209.92, 108,368.09 and 34,259.33

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Solution

The fourth proportional to 72,209.92, 108,368.09 and 34,259.33 is: 51,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,209.92 : 108,368.09 = 34,259.33 : x
  2. Step 2: Convert to fraction form
    72,209.92/108,368.09 = 34,259.33/x
  3. Step 3: Cross multiply
    72,209.92x = 108,368.09 × 34,259.33
  4. Step 4: Simplify right side
    72,209.92x = 3,712,618,156.78
  5. Step 5: Solve for x
    x = 3,712,618,156.78/72,209.92
  6. Step 6: Final answer
    x = 51,414.24

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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.