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Finding the Fourth Proportional to 78,254.85, 107,990.69 and 42,443.85

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Solution

The fourth proportional to 78,254.85, 107,990.69 and 42,443.85 is: 58,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,254.85 : 107,990.69 = 42,443.85 : x
  2. Step 2: Convert to fraction form
    78,254.85/107,990.69 = 42,443.85/x
  3. Step 3: Cross multiply
    78,254.85x = 107,990.69 × 42,443.85
  4. Step 4: Simplify right side
    78,254.85x = 4,583,540,435.54
  5. Step 5: Solve for x
    x = 4,583,540,435.54/78,254.85
  6. Step 6: Final answer
    x = 58,571.97

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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.