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Finding the Fourth Proportional to 100,617.29, 150,947.71 and 30,501.89

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Solution

The fourth proportional to 100,617.29, 150,947.71 and 30,501.89 is: 45,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,617.29 : 150,947.71 = 30,501.89 : x
  2. Step 2: Convert to fraction form
    100,617.29/150,947.71 = 30,501.89/x
  3. Step 3: Cross multiply
    100,617.29x = 150,947.71 × 30,501.89
  4. Step 4: Simplify right side
    100,617.29x = 4,604,189,615.18
  5. Step 5: Solve for x
    x = 4,604,189,615.18/100,617.29
  6. Step 6: Final answer
    x = 45,759.43

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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.