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Finding the Fourth Proportional to 203,474.84, 280,781.57 and 112,827.47

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Solution

The fourth proportional to 203,474.84, 280,781.57 and 112,827.47 is: 155,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474.84 : 280,781.57 = 112,827.47 : x
  2. Step 2: Convert to fraction form
    203,474.84/280,781.57 = 112,827.47/x
  3. Step 3: Cross multiply
    203,474.84x = 280,781.57 × 112,827.47
  4. Step 4: Simplify right side
    203,474.84x = 31,679,873,043.89
  5. Step 5: Solve for x
    x = 31,679,873,043.89/203,474.84
  6. Step 6: Final answer
    x = 155,694.31

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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.