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Finding the Fourth Proportional to 136,771.64, 188,692.08 and 85,695.32

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Solution

The fourth proportional to 136,771.64, 188,692.08 and 85,695.32 is: 118,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,771.64 : 188,692.08 = 85,695.32 : x
  2. Step 2: Convert to fraction form
    136,771.64/188,692.08 = 85,695.32/x
  3. Step 3: Cross multiply
    136,771.64x = 188,692.08 × 85,695.32
  4. Step 4: Simplify right side
    136,771.64x = 16,170,027,748.08
  5. Step 5: Solve for x
    x = 16,170,027,748.08/136,771.64
  6. Step 6: Final answer
    x = 118,226.47

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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.