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Finding the Fourth Proportional to 193,374, 290,061 and 68,719.92

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Solution

The fourth proportional to 193,374, 290,061 and 68,719.92 is: 103,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,374 : 290,061 = 68,719.92 : x
  2. Step 2: Convert to fraction form
    193,374/290,061 = 68,719.92/x
  3. Step 3: Cross multiply
    193,374x = 290,061 × 68,719.92
  4. Step 4: Simplify right side
    193,374x = 19,932,968,715.12
  5. Step 5: Solve for x
    x = 19,932,968,715.12/193,374
  6. Step 6: Final answer
    x = 103,079.88

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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.