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Finding the Fourth Proportional to 85,165.38, 127,673.82 and 35,214.30

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Solution

The fourth proportional to 85,165.38, 127,673.82 and 35,214.30 is: 52,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,165.38 : 127,673.82 = 35,214.30 : x
  2. Step 2: Convert to fraction form
    85,165.38/127,673.82 = 35,214.30/x
  3. Step 3: Cross multiply
    85,165.38x = 127,673.82 × 35,214.30
  4. Step 4: Simplify right side
    85,165.38x = 4,495,944,199.63
  5. Step 5: Solve for x
    x = 4,495,944,199.63/85,165.38
  6. Step 6: Final answer
    x = 52,790.75

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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.