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Finding the Fourth Proportional to 57,877.60, 86,816.40 and 43,880.80

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Solution

The fourth proportional to 57,877.60, 86,816.40 and 43,880.80 is: 65,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877.60 : 86,816.40 = 43,880.80 : x
  2. Step 2: Convert to fraction form
    57,877.60/86,816.40 = 43,880.80/x
  3. Step 3: Cross multiply
    57,877.60x = 86,816.40 × 43,880.80
  4. Step 4: Simplify right side
    57,877.60x = 3,809,573,085.12
  5. Step 5: Solve for x
    x = 3,809,573,085.12/57,877.60
  6. Step 6: Final answer
    x = 65,821.20

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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.