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Finding the Fourth Proportional to 78,360, 108,136.80 and 44,826

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Solution

The fourth proportional to 78,360, 108,136.80 and 44,826 is: 61,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,360 : 108,136.80 = 44,826 : x
  2. Step 2: Convert to fraction form
    78,360/108,136.80 = 44,826/x
  3. Step 3: Cross multiply
    78,360x = 108,136.80 × 44,826
  4. Step 4: Simplify right side
    78,360x = 4,847,340,196.80
  5. Step 5: Solve for x
    x = 4,847,340,196.80/78,360
  6. Step 6: Final answer
    x = 61,859.88

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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.