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Finding the Fourth Proportional to 128,101.44, 192,269.34 and 64,965.12

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Solution

The fourth proportional to 128,101.44, 192,269.34 and 64,965.12 is: 97,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,101.44 : 192,269.34 = 64,965.12 : x
  2. Step 2: Convert to fraction form
    128,101.44/192,269.34 = 64,965.12/x
  3. Step 3: Cross multiply
    128,101.44x = 192,269.34 × 64,965.12
  4. Step 4: Simplify right side
    128,101.44x = 12,490,800,745.42
  5. Step 5: Solve for x
    x = 12,490,800,745.42/128,101.44
  6. Step 6: Final answer
    x = 97,507.11

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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.