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Finding the Fourth Proportional to 54,220.34, 81,317.41 and 20,919.16

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Solution

The fourth proportional to 54,220.34, 81,317.41 and 20,919.16 is: 31,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,220.34 : 81,317.41 = 20,919.16 : x
  2. Step 2: Convert to fraction form
    54,220.34/81,317.41 = 20,919.16/x
  3. Step 3: Cross multiply
    54,220.34x = 81,317.41 × 20,919.16
  4. Step 4: Simplify right side
    54,220.34x = 1,701,091,930.51
  5. Step 5: Solve for x
    x = 1,701,091,930.51/54,220.34
  6. Step 6: Final answer
    x = 31,373.69

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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.