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Finding the Fourth Proportional to 196,692.60, 294,935.22 and 85,755

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Solution

The fourth proportional to 196,692.60, 294,935.22 and 85,755 is: 128,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,692.60 : 294,935.22 = 85,755 : x
  2. Step 2: Convert to fraction form
    196,692.60/294,935.22 = 85,755/x
  3. Step 3: Cross multiply
    196,692.60x = 294,935.22 × 85,755
  4. Step 4: Simplify right side
    196,692.60x = 25,292,169,791.10
  5. Step 5: Solve for x
    x = 25,292,169,791.10/196,692.60
  6. Step 6: Final answer
    x = 128,587.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.