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Finding the Fourth Proportional to 187,206, 280,809 and 55,878

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Solution

The fourth proportional to 187,206, 280,809 and 55,878 is: 83,817

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,206 : 280,809 = 55,878 : x
  2. Step 2: Convert to fraction form
    187,206/280,809 = 55,878/x
  3. Step 3: Cross multiply
    187,206x = 280,809 × 55,878
  4. Step 4: Simplify right side
    187,206x = 15,691,045,302
  5. Step 5: Solve for x
    x = 15,691,045,302/187,206
  6. Step 6: Final answer
    x = 83,817

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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.