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Finding the Fourth Proportional to 84,823.72, 117,003.78 and 54,649

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Solution

The fourth proportional to 84,823.72, 117,003.78 and 54,649 is: 75,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,823.72 : 117,003.78 = 54,649 : x
  2. Step 2: Convert to fraction form
    84,823.72/117,003.78 = 54,649/x
  3. Step 3: Cross multiply
    84,823.72x = 117,003.78 × 54,649
  4. Step 4: Simplify right side
    84,823.72x = 6,394,139,573.22
  5. Step 5: Solve for x
    x = 6,394,139,573.22/84,823.72
  6. Step 6: Final answer
    x = 75,381.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.