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Finding the Fourth Proportional to 85,322.63, 127,884.28 and 64,194.78

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Solution

The fourth proportional to 85,322.63, 127,884.28 and 64,194.78 is: 96,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,322.63 : 127,884.28 = 64,194.78 : x
  2. Step 2: Convert to fraction form
    85,322.63/127,884.28 = 64,194.78/x
  3. Step 3: Cross multiply
    85,322.63x = 127,884.28 × 64,194.78
  4. Step 4: Simplify right side
    85,322.63x = 8,209,503,220.06
  5. Step 5: Solve for x
    x = 8,209,503,220.06/85,322.63
  6. Step 6: Final answer
    x = 96,217.18

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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.