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Finding the Fourth Proportional to 204,690.60, 282,461.76 and 112,791.78

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Solution

The fourth proportional to 204,690.60, 282,461.76 and 112,791.78 is: 155,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,690.60 : 282,461.76 = 112,791.78 : x
  2. Step 2: Convert to fraction form
    204,690.60/282,461.76 = 112,791.78/x
  3. Step 3: Cross multiply
    204,690.60x = 282,461.76 × 112,791.78
  4. Step 4: Simplify right side
    204,690.60x = 31,859,364,692.33
  5. Step 5: Solve for x
    x = 31,859,364,692.33/204,690.60
  6. Step 6: Final answer
    x = 155,646.45

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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.