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Finding the Fourth Proportional to 78,219.37, 107,934.73 and 48,005.97

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Solution

The fourth proportional to 78,219.37, 107,934.73 and 48,005.97 is: 66,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,219.37 : 107,934.73 = 48,005.97 : x
  2. Step 2: Convert to fraction form
    78,219.37/107,934.73 = 48,005.97/x
  3. Step 3: Cross multiply
    78,219.37x = 107,934.73 × 48,005.97
  4. Step 4: Simplify right side
    78,219.37x = 5,181,511,410.34
  5. Step 5: Solve for x
    x = 5,181,511,410.34/78,219.37
  6. Step 6: Final answer
    x = 66,243.33

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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.