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Finding the Fourth Proportional to 187,071.53, 280,717.92 and 68,825.84

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Solution

The fourth proportional to 187,071.53, 280,717.92 and 68,825.84 is: 103,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,071.53 : 280,717.92 = 68,825.84 : x
  2. Step 2: Convert to fraction form
    187,071.53/280,717.92 = 68,825.84/x
  3. Step 3: Cross multiply
    187,071.53x = 280,717.92 × 68,825.84
  4. Step 4: Simplify right side
    187,071.53x = 19,320,645,243.46
  5. Step 5: Solve for x
    x = 19,320,645,243.46/187,071.53
  6. Step 6: Final answer
    x = 103,279.46

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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.