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Finding the Fourth Proportional to 203,534.40, 280,894.29 and 112,919.55

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Solution

The fourth proportional to 203,534.40, 280,894.29 and 112,919.55 is: 155,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,534.40 : 280,894.29 = 112,919.55 : x
  2. Step 2: Convert to fraction form
    203,534.40/280,894.29 = 112,919.55/x
  3. Step 3: Cross multiply
    203,534.40x = 280,894.29 × 112,919.55
  4. Step 4: Simplify right side
    203,534.40x = 31,718,456,824.37
  5. Step 5: Solve for x
    x = 31,718,456,824.37/203,534.40
  6. Step 6: Final answer
    x = 155,838.31

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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.