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Finding the Fourth Proportional to 187,208, 280,812 and 55,880

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Solution

The fourth proportional to 187,208, 280,812 and 55,880 is: 83,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,208 : 280,812 = 55,880 : x
  2. Step 2: Convert to fraction form
    187,208/280,812 = 55,880/x
  3. Step 3: Cross multiply
    187,208x = 280,812 × 55,880
  4. Step 4: Simplify right side
    187,208x = 15,691,774,560
  5. Step 5: Solve for x
    x = 15,691,774,560/187,208
  6. Step 6: Final answer
    x = 83,820

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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.