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Finding the Fourth Proportional to 72,912, 109,387.44 and 35,976

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Solution

The fourth proportional to 72,912, 109,387.44 and 35,976 is: 53,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,912 : 109,387.44 = 35,976 : x
  2. Step 2: Convert to fraction form
    72,912/109,387.44 = 35,976/x
  3. Step 3: Cross multiply
    72,912x = 109,387.44 × 35,976
  4. Step 4: Simplify right side
    72,912x = 3,935,322,541.44
  5. Step 5: Solve for x
    x = 3,935,322,541.44/72,912
  6. Step 6: Final answer
    x = 53,973.59

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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.