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Finding the Fourth Proportional to 56,408.61, 84,523.89 and 20,820.94

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Solution

The fourth proportional to 56,408.61, 84,523.89 and 20,820.94 is: 31,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408.61 : 84,523.89 = 20,820.94 : x
  2. Step 2: Convert to fraction form
    56,408.61/84,523.89 = 20,820.94/x
  3. Step 3: Cross multiply
    56,408.61x = 84,523.89 × 20,820.94
  4. Step 4: Simplify right side
    56,408.61x = 1,759,866,842.26
  5. Step 5: Solve for x
    x = 1,759,866,842.26/56,408.61
  6. Step 6: Final answer
    x = 31,198.55

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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.