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Finding the Fourth Proportional to 203,468.89, 280,785.93 and 112,838.25

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Solution

The fourth proportional to 203,468.89, 280,785.93 and 112,838.25 is: 155,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,468.89 : 280,785.93 = 112,838.25 : x
  2. Step 2: Convert to fraction form
    203,468.89/280,785.93 = 112,838.25/x
  3. Step 3: Cross multiply
    203,468.89x = 280,785.93 × 112,838.25
  4. Step 4: Simplify right side
    203,468.89x = 31,683,392,965.82
  5. Step 5: Solve for x
    x = 31,683,392,965.82/203,468.89
  6. Step 6: Final answer
    x = 155,716.15

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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.