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Finding the Fourth Proportional to 85,270.29, 127,850.75 and 35,384.82

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Solution

The fourth proportional to 85,270.29, 127,850.75 and 35,384.82 is: 53,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,270.29 : 127,850.75 = 35,384.82 : x
  2. Step 2: Convert to fraction form
    85,270.29/127,850.75 = 35,384.82/x
  3. Step 3: Cross multiply
    85,270.29x = 127,850.75 × 35,384.82
  4. Step 4: Simplify right side
    85,270.29x = 4,523,975,864.08
  5. Step 5: Solve for x
    x = 4,523,975,864.08/85,270.29
  6. Step 6: Final answer
    x = 53,054.54

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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.