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Finding the Fourth Proportional to 100,857.77, 151,287.47 and 34,313.03

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Solution

The fourth proportional to 100,857.77, 151,287.47 and 34,313.03 is: 51,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,857.77 : 151,287.47 = 34,313.03 : x
  2. Step 2: Convert to fraction form
    100,857.77/151,287.47 = 34,313.03/x
  3. Step 3: Cross multiply
    100,857.77x = 151,287.47 × 34,313.03
  4. Step 4: Simplify right side
    100,857.77x = 5,191,131,325.17
  5. Step 5: Solve for x
    x = 5,191,131,325.17/100,857.77
  6. Step 6: Final answer
    x = 51,469.82

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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.