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Finding the Fourth Proportional to 78,468.19, 108,283.78 and 44,479.80

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Solution

The fourth proportional to 78,468.19, 108,283.78 and 44,479.80 is: 61,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,468.19 : 108,283.78 = 44,479.80 : x
  2. Step 2: Convert to fraction form
    78,468.19/108,283.78 = 44,479.80/x
  3. Step 3: Cross multiply
    78,468.19x = 108,283.78 × 44,479.80
  4. Step 4: Simplify right side
    78,468.19x = 4,816,440,877.64
  5. Step 5: Solve for x
    x = 4,816,440,877.64/78,468.19
  6. Step 6: Final answer
    x = 61,380.81

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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.