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Finding the Fourth Proportional to 78,879.16, 108,822.13 and 48,611.80

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Solution

The fourth proportional to 78,879.16, 108,822.13 and 48,611.80 is: 67,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,879.16 : 108,822.13 = 48,611.80 : x
  2. Step 2: Convert to fraction form
    78,879.16/108,822.13 = 48,611.80/x
  3. Step 3: Cross multiply
    78,879.16x = 108,822.13 × 48,611.80
  4. Step 4: Simplify right side
    78,879.16x = 5,290,039,619.13
  5. Step 5: Solve for x
    x = 5,290,039,619.13/78,879.16
  6. Step 6: Final answer
    x = 67,065.11

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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.