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Finding the Fourth Proportional to 78,580.44, 108,392.04 and 47,939.58

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Solution

The fourth proportional to 78,580.44, 108,392.04 and 47,939.58 is: 66,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,580.44 : 108,392.04 = 47,939.58 : x
  2. Step 2: Convert to fraction form
    78,580.44/108,392.04 = 47,939.58/x
  3. Step 3: Cross multiply
    78,580.44x = 108,392.04 × 47,939.58
  4. Step 4: Simplify right side
    78,580.44x = 5,196,268,872.94
  5. Step 5: Solve for x
    x = 5,196,268,872.94/78,580.44
  6. Step 6: Final answer
    x = 66,126.75

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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.