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Finding the Fourth Proportional to 109,224.57, 150,729.87 and 61,478.17

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Solution

The fourth proportional to 109,224.57, 150,729.87 and 61,478.17 is: 84,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,224.57 : 150,729.87 = 61,478.17 : x
  2. Step 2: Convert to fraction form
    109,224.57/150,729.87 = 61,478.17/x
  3. Step 3: Cross multiply
    109,224.57x = 150,729.87 × 61,478.17
  4. Step 4: Simplify right side
    109,224.57x = 9,266,596,571.94
  5. Step 5: Solve for x
    x = 9,266,596,571.94/109,224.57
  6. Step 6: Final answer
    x = 84,839.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.