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Finding the Fourth Proportional to 78,880.80, 118,321.20 and 49,389.60

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Solution

The fourth proportional to 78,880.80, 118,321.20 and 49,389.60 is: 74,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,880.80 : 118,321.20 = 49,389.60 : x
  2. Step 2: Convert to fraction form
    78,880.80/118,321.20 = 49,389.60/x
  3. Step 3: Cross multiply
    78,880.80x = 118,321.20 × 49,389.60
  4. Step 4: Simplify right side
    78,880.80x = 5,843,836,739.52
  5. Step 5: Solve for x
    x = 5,843,836,739.52/78,880.80
  6. Step 6: Final answer
    x = 74,084.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.