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Finding the Fourth Proportional to 55,412.25, 83,118.38 and 13,859.25

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Solution

The fourth proportional to 55,412.25, 83,118.38 and 13,859.25 is: 20,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,412.25 : 83,118.38 = 13,859.25 : x
  2. Step 2: Convert to fraction form
    55,412.25/83,118.38 = 13,859.25/x
  3. Step 3: Cross multiply
    55,412.25x = 83,118.38 × 13,859.25
  4. Step 4: Simplify right side
    55,412.25x = 1,151,958,338.72
  5. Step 5: Solve for x
    x = 1,151,958,338.72/55,412.25
  6. Step 6: Final answer
    x = 20,788.88

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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.