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Finding the Fourth Proportional to 203,309.88, 280,578.87 and 112,663.95

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Solution

The fourth proportional to 203,309.88, 280,578.87 and 112,663.95 is: 155,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,309.88 : 280,578.87 = 112,663.95 : x
  2. Step 2: Convert to fraction form
    203,309.88/280,578.87 = 112,663.95/x
  3. Step 3: Cross multiply
    203,309.88x = 280,578.87 × 112,663.95
  4. Step 4: Simplify right side
    203,309.88x = 31,611,123,780.74
  5. Step 5: Solve for x
    x = 31,611,123,780.74/203,309.88
  6. Step 6: Final answer
    x = 155,482.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.