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Finding the Fourth Proportional to 78,205.50, 107,804.16 and 47,934.72

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Solution

The fourth proportional to 78,205.50, 107,804.16 and 47,934.72 is: 66,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,205.50 : 107,804.16 = 47,934.72 : x
  2. Step 2: Convert to fraction form
    78,205.50/107,804.16 = 47,934.72/x
  3. Step 3: Cross multiply
    78,205.50x = 107,804.16 × 47,934.72
  4. Step 4: Simplify right side
    78,205.50x = 5,167,562,224.44
  5. Step 5: Solve for x
    x = 5,167,562,224.44/78,205.50
  6. Step 6: Final answer
    x = 66,076.71

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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.