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Finding the Fourth Proportional to 78,241.44, 107,853.84 and 47,970.72

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Solution

The fourth proportional to 78,241.44, 107,853.84 and 47,970.72 is: 66,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,241.44 : 107,853.84 = 47,970.72 : x
  2. Step 2: Convert to fraction form
    78,241.44/107,853.84 = 47,970.72/x
  3. Step 3: Cross multiply
    78,241.44x = 107,853.84 × 47,970.72
  4. Step 4: Simplify right side
    78,241.44x = 5,173,826,359.56
  5. Step 5: Solve for x
    x = 5,173,826,359.56/78,241.44
  6. Step 6: Final answer
    x = 66,126.42

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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.