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Finding the Fourth Proportional to 187,144.40, 280,827.78 and 68,898.80

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Solution

The fourth proportional to 187,144.40, 280,827.78 and 68,898.80 is: 103,389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,144.40 : 280,827.78 = 68,898.80 : x
  2. Step 2: Convert to fraction form
    187,144.40/280,827.78 = 68,898.80/x
  3. Step 3: Cross multiply
    187,144.40x = 280,827.78 × 68,898.80
  4. Step 4: Simplify right side
    187,144.40x = 19,348,697,048.66
  5. Step 5: Solve for x
    x = 19,348,697,048.66/187,144.40
  6. Step 6: Final answer
    x = 103,389.13

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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.