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Finding the Fourth Proportional to 109,223.26, 163,624.97 and 66,980.16

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Solution

The fourth proportional to 109,223.26, 163,624.97 and 66,980.16 is: 100,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,223.26 : 163,624.97 = 66,980.16 : x
  2. Step 2: Convert to fraction form
    109,223.26/163,624.97 = 66,980.16/x
  3. Step 3: Cross multiply
    109,223.26x = 163,624.97 × 66,980.16
  4. Step 4: Simplify right side
    109,223.26x = 10,959,626,838.05
  5. Step 5: Solve for x
    x = 10,959,626,838.05/109,223.26
  6. Step 6: Final answer
    x = 100,341.51

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1.5x scale

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.