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Finding the Fourth Proportional to 67,545, 101,330.46 and 30,609

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Solution

The fourth proportional to 67,545, 101,330.46 and 30,609 is: 45,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,545 : 101,330.46 = 30,609 : x
  2. Step 2: Convert to fraction form
    67,545/101,330.46 = 30,609/x
  3. Step 3: Cross multiply
    67,545x = 101,330.46 × 30,609
  4. Step 4: Simplify right side
    67,545x = 3,101,624,050.14
  5. Step 5: Solve for x
    x = 3,101,624,050.14/67,545
  6. Step 6: Final answer
    x = 45,919.37

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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.