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Finding the Fourth Proportional to 74,642, 111,963.41 and 19,238

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Solution

The fourth proportional to 74,642, 111,963.41 and 19,238 is: 28,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,642 : 111,963.41 = 19,238 : x
  2. Step 2: Convert to fraction form
    74,642/111,963.41 = 19,238/x
  3. Step 3: Cross multiply
    74,642x = 111,963.41 × 19,238
  4. Step 4: Simplify right side
    74,642x = 2,153,951,985.39
  5. Step 5: Solve for x
    x = 2,153,951,985.39/74,642
  6. Step 6: Final answer
    x = 28,857.10

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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.