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Finding the Fourth Proportional to 78,005.44, 107,647.36 and 42,195.48

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Solution

The fourth proportional to 78,005.44, 107,647.36 and 42,195.48 is: 58,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.44 : 107,647.36 = 42,195.48 : x
  2. Step 2: Convert to fraction form
    78,005.44/107,647.36 = 42,195.48/x
  3. Step 3: Cross multiply
    78,005.44x = 107,647.36 × 42,195.48
  4. Step 4: Simplify right side
    78,005.44x = 4,542,232,025.93
  5. Step 5: Solve for x
    x = 4,542,232,025.93/78,005.44
  6. Step 6: Final answer
    x = 58,229.68

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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.