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Finding the Fourth Proportional to 187,216, 280,824 and 55,888

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Solution

The fourth proportional to 187,216, 280,824 and 55,888 is: 83,832

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,216 : 280,824 = 55,888 : x
  2. Step 2: Convert to fraction form
    187,216/280,824 = 55,888/x
  3. Step 3: Cross multiply
    187,216x = 280,824 × 55,888
  4. Step 4: Simplify right side
    187,216x = 15,694,691,712
  5. Step 5: Solve for x
    x = 15,694,691,712/187,216
  6. Step 6: Final answer
    x = 83,832

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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.