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Finding the Fourth Proportional to 72,739.22, 109,009.29 and 54,955.26

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Solution

The fourth proportional to 72,739.22, 109,009.29 and 54,955.26 is: 82,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,739.22 : 109,009.29 = 54,955.26 : x
  2. Step 2: Convert to fraction form
    72,739.22/109,009.29 = 54,955.26/x
  3. Step 3: Cross multiply
    72,739.22x = 109,009.29 × 54,955.26
  4. Step 4: Simplify right side
    72,739.22x = 5,990,634,080.45
  5. Step 5: Solve for x
    x = 5,990,634,080.45/72,739.22
  6. Step 6: Final answer
    x = 82,357.69

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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.