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Finding the Fourth Proportional to 101,141.28, 151,662 and 31,003.68

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Solution

The fourth proportional to 101,141.28, 151,662 and 31,003.68 is: 46,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,141.28 : 151,662 = 31,003.68 : x
  2. Step 2: Convert to fraction form
    101,141.28/151,662 = 31,003.68/x
  3. Step 3: Cross multiply
    101,141.28x = 151,662 × 31,003.68
  4. Step 4: Simplify right side
    101,141.28x = 4,702,080,116.16
  5. Step 5: Solve for x
    x = 4,702,080,116.16/101,141.28
  6. Step 6: Final answer
    x = 46,490.22

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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.