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Finding the Fourth Proportional to 131,774.88, 197,414.64 and 65,137.44

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Solution

The fourth proportional to 131,774.88, 197,414.64 and 65,137.44 is: 97,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,774.88 : 197,414.64 = 65,137.44 : x
  2. Step 2: Convert to fraction form
    131,774.88/197,414.64 = 65,137.44/x
  3. Step 3: Cross multiply
    131,774.88x = 197,414.64 × 65,137.44
  4. Step 4: Simplify right side
    131,774.88x = 12,859,084,268.12
  5. Step 5: Solve for x
    x = 12,859,084,268.12/131,774.88
  6. Step 6: Final answer
    x = 97,583.73

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1.5x scale

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.