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Finding the Fourth Proportional to 85,694.81, 128,591.40 and 66,922.16

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Solution

The fourth proportional to 85,694.81, 128,591.40 and 66,922.16 is: 100,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,694.81 : 128,591.40 = 66,922.16 : x
  2. Step 2: Convert to fraction form
    85,694.81/128,591.40 = 66,922.16/x
  3. Step 3: Cross multiply
    85,694.81x = 128,591.40 × 66,922.16
  4. Step 4: Simplify right side
    85,694.81x = 8,605,613,853.43
  5. Step 5: Solve for x
    x = 8,605,613,853.43/85,694.81
  6. Step 6: Final answer
    x = 100,421.65

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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.