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Finding the Fourth Proportional to 73,316.40, 109,963.80 and 20,731.20

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Solution

The fourth proportional to 73,316.40, 109,963.80 and 20,731.20 is: 31,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,316.40 : 109,963.80 = 20,731.20 : x
  2. Step 2: Convert to fraction form
    73,316.40/109,963.80 = 20,731.20/x
  3. Step 3: Cross multiply
    73,316.40x = 109,963.80 × 20,731.20
  4. Step 4: Simplify right side
    73,316.40x = 2,279,681,530.56
  5. Step 5: Solve for x
    x = 2,279,681,530.56/73,316.40
  6. Step 6: Final answer
    x = 31,093.75

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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.