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Finding the Fourth Proportional to 73,855.31, 101,919.80 and 40,321.31

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Solution

The fourth proportional to 73,855.31, 101,919.80 and 40,321.31 is: 55,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,855.31 : 101,919.80 = 40,321.31 : x
  2. Step 2: Convert to fraction form
    73,855.31/101,919.80 = 40,321.31/x
  3. Step 3: Cross multiply
    73,855.31x = 101,919.80 × 40,321.31
  4. Step 4: Simplify right side
    73,855.31x = 4,109,539,442.14
  5. Step 5: Solve for x
    x = 4,109,539,442.14/73,855.31
  6. Step 6: Final answer
    x = 55,643.12

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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.