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Finding the Fourth Proportional to 109,509.44, 163,472 and 96,223.44

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Solution

The fourth proportional to 109,509.44, 163,472 and 96,223.44 is: 143,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,509.44 : 163,472 = 96,223.44 : x
  2. Step 2: Convert to fraction form
    109,509.44/163,472 = 96,223.44/x
  3. Step 3: Cross multiply
    109,509.44x = 163,472 × 96,223.44
  4. Step 4: Simplify right side
    109,509.44x = 15,729,838,183.68
  5. Step 5: Solve for x
    x = 15,729,838,183.68/109,509.44
  6. Step 6: Final answer
    x = 143,639.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.