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Finding the Fourth Proportional to 72,664.22, 108,838.11 and 35,145.16

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Solution

The fourth proportional to 72,664.22, 108,838.11 and 35,145.16 is: 52,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,664.22 : 108,838.11 = 35,145.16 : x
  2. Step 2: Convert to fraction form
    72,664.22/108,838.11 = 35,145.16/x
  3. Step 3: Cross multiply
    72,664.22x = 108,838.11 × 35,145.16
  4. Step 4: Simplify right side
    72,664.22x = 3,825,132,649.75
  5. Step 5: Solve for x
    x = 3,825,132,649.75/72,664.22
  6. Step 6: Final answer
    x = 52,641.21

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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.