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Finding the Fourth Proportional to 70,112.25, 105,168.38 and 20,864.25

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Solution

The fourth proportional to 70,112.25, 105,168.38 and 20,864.25 is: 31,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,112.25 : 105,168.38 = 20,864.25 : x
  2. Step 2: Convert to fraction form
    70,112.25/105,168.38 = 20,864.25/x
  3. Step 3: Cross multiply
    70,112.25x = 105,168.38 × 20,864.25
  4. Step 4: Simplify right side
    70,112.25x = 2,194,259,268.09
  5. Step 5: Solve for x
    x = 2,194,259,268.09/70,112.25
  6. Step 6: Final answer
    x = 31,296.38

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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.