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Finding the Fourth Proportional to 187,092, 280,463.04 and 68,731.56

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Solution

The fourth proportional to 187,092, 280,463.04 and 68,731.56 is: 103,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,092 : 280,463.04 = 68,731.56 : x
  2. Step 2: Convert to fraction form
    187,092/280,463.04 = 68,731.56/x
  3. Step 3: Cross multiply
    187,092x = 280,463.04 × 68,731.56
  4. Step 4: Simplify right side
    187,092x = 19,276,662,261.54
  5. Step 5: Solve for x
    x = 19,276,662,261.54/187,092
  6. Step 6: Final answer
    x = 103,033.07

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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.