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Finding the Fourth Proportional to 101,133.28, 151,650 and 30,995.68

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Solution

The fourth proportional to 101,133.28, 151,650 and 30,995.68 is: 46,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,133.28 : 151,650 = 30,995.68 : x
  2. Step 2: Convert to fraction form
    101,133.28/151,650 = 30,995.68/x
  3. Step 3: Cross multiply
    101,133.28x = 151,650 × 30,995.68
  4. Step 4: Simplify right side
    101,133.28x = 4,700,494,872
  5. Step 5: Solve for x
    x = 4,700,494,872/101,133.28
  6. Step 6: Final answer
    x = 46,478.22

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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.