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Finding the Fourth Proportional to 109,164.78, 163,747.16 and 30,279.01

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Solution

The fourth proportional to 109,164.78, 163,747.16 and 30,279.01 is: 45,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,164.78 : 163,747.16 = 30,279.01 : x
  2. Step 2: Convert to fraction form
    109,164.78/163,747.16 = 30,279.01/x
  3. Step 3: Cross multiply
    109,164.78x = 163,747.16 × 30,279.01
  4. Step 4: Simplify right side
    109,164.78x = 4,958,101,690.43
  5. Step 5: Solve for x
    x = 4,958,101,690.43/109,164.78
  6. Step 6: Final answer
    x = 45,418.51

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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.