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Finding the Fourth Proportional to 85,002, 127,502.94 and 40,493.88

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Solution

The fourth proportional to 85,002, 127,502.94 and 40,493.88 is: 60,740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,002 : 127,502.94 = 40,493.88 : x
  2. Step 2: Convert to fraction form
    85,002/127,502.94 = 40,493.88/x
  3. Step 3: Cross multiply
    85,002x = 127,502.94 × 40,493.88
  4. Step 4: Simplify right side
    85,002x = 5,163,088,752.01
  5. Step 5: Solve for x
    x = 5,163,088,752.01/85,002
  6. Step 6: Final answer
    x = 60,740.79

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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.