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Finding the Fourth Proportional to 72,761.64, 109,036.86 and 39,453.48

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Solution

The fourth proportional to 72,761.64, 109,036.86 and 39,453.48 is: 59,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,761.64 : 109,036.86 = 39,453.48 : x
  2. Step 2: Convert to fraction form
    72,761.64/109,036.86 = 39,453.48/x
  3. Step 3: Cross multiply
    72,761.64x = 109,036.86 × 39,453.48
  4. Step 4: Simplify right side
    72,761.64x = 4,301,883,575.27
  5. Step 5: Solve for x
    x = 4,301,883,575.27/72,761.64
  6. Step 6: Final answer
    x = 59,122.96

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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.