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Finding the Fourth Proportional to 187,142.40, 280,824.78 and 68,896.80

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Solution

The fourth proportional to 187,142.40, 280,824.78 and 68,896.80 is: 103,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,142.40 : 280,824.78 = 68,896.80 : x
  2. Step 2: Convert to fraction form
    187,142.40/280,824.78 = 68,896.80/x
  3. Step 3: Cross multiply
    187,142.40x = 280,824.78 × 68,896.80
  4. Step 4: Simplify right side
    187,142.40x = 19,347,928,702.70
  5. Step 5: Solve for x
    x = 19,347,928,702.70/187,142.40
  6. Step 6: Final answer
    x = 103,386.13

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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.