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Finding the Fourth Proportional to 72,187.16, 108,287.28 and 22,268

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Solution

The fourth proportional to 72,187.16, 108,287.28 and 22,268 is: 33,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,187.16 : 108,287.28 = 22,268 : x
  2. Step 2: Convert to fraction form
    72,187.16/108,287.28 = 22,268/x
  3. Step 3: Cross multiply
    72,187.16x = 108,287.28 × 22,268
  4. Step 4: Simplify right side
    72,187.16x = 2,411,341,151.04
  5. Step 5: Solve for x
    x = 2,411,341,151.04/72,187.16
  6. Step 6: Final answer
    x = 33,404.02

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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.