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Finding the Fourth Proportional to 55,476.86, 83,207.08 and 20,408.31

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Solution

The fourth proportional to 55,476.86, 83,207.08 and 20,408.31 is: 30,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,476.86 : 83,207.08 = 20,408.31 : x
  2. Step 2: Convert to fraction form
    55,476.86/83,207.08 = 20,408.31/x
  3. Step 3: Cross multiply
    55,476.86x = 83,207.08 × 20,408.31
  4. Step 4: Simplify right side
    55,476.86x = 1,698,115,882.83
  5. Step 5: Solve for x
    x = 1,698,115,882.83/55,476.86
  6. Step 6: Final answer
    x = 30,609.44

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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.