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Finding the Fourth Proportional to 72,323.86, 108,505.35 and 65,383.78

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Solution

The fourth proportional to 72,323.86, 108,505.35 and 65,383.78 is: 98,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,323.86 : 108,505.35 = 65,383.78 : x
  2. Step 2: Convert to fraction form
    72,323.86/108,505.35 = 65,383.78/x
  3. Step 3: Cross multiply
    72,323.86x = 108,505.35 × 65,383.78
  4. Step 4: Simplify right side
    72,323.86x = 7,094,489,933.22
  5. Step 5: Solve for x
    x = 7,094,489,933.22/72,323.86
  6. Step 6: Final answer
    x = 98,093.35

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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.