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Finding the Fourth Proportional to 73,083.28, 100,844.10 and 42,857.20

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Solution

The fourth proportional to 73,083.28, 100,844.10 and 42,857.20 is: 59,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,083.28 : 100,844.10 = 42,857.20 : x
  2. Step 2: Convert to fraction form
    73,083.28/100,844.10 = 42,857.20/x
  3. Step 3: Cross multiply
    73,083.28x = 100,844.10 × 42,857.20
  4. Step 4: Simplify right side
    73,083.28x = 4,321,895,762.52
  5. Step 5: Solve for x
    x = 4,321,895,762.52/73,083.28
  6. Step 6: Final answer
    x = 59,136.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.