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Finding the Fourth Proportional to 73,642, 110,464.14 and 18,238

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Solution

The fourth proportional to 73,642, 110,464.14 and 18,238 is: 27,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,642 : 110,464.14 = 18,238 : x
  2. Step 2: Convert to fraction form
    73,642/110,464.14 = 18,238/x
  3. Step 3: Cross multiply
    73,642x = 110,464.14 × 18,238
  4. Step 4: Simplify right side
    73,642x = 2,014,644,985.32
  5. Step 5: Solve for x
    x = 2,014,644,985.32/73,642
  6. Step 6: Final answer
    x = 27,357.28

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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.