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Finding the Fourth Proportional to 109,722.64, 151,414.14 and 65,010.64

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Solution

The fourth proportional to 109,722.64, 151,414.14 and 65,010.64 is: 89,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,722.64 : 151,414.14 = 65,010.64 : x
  2. Step 2: Convert to fraction form
    109,722.64/151,414.14 = 65,010.64/x
  3. Step 3: Cross multiply
    109,722.64x = 151,414.14 × 65,010.64
  4. Step 4: Simplify right side
    109,722.64x = 9,843,530,146.45
  5. Step 5: Solve for x
    x = 9,843,530,146.45/109,722.64
  6. Step 6: Final answer
    x = 89,712.84

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1.5x scale

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.