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Finding the Fourth Proportional to 76,980.80, 115,471.20 and 47,585.60

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Solution

The fourth proportional to 76,980.80, 115,471.20 and 47,585.60 is: 71,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980.80 : 115,471.20 = 47,585.60 : x
  2. Step 2: Convert to fraction form
    76,980.80/115,471.20 = 47,585.60/x
  3. Step 3: Cross multiply
    76,980.80x = 115,471.20 × 47,585.60
  4. Step 4: Simplify right side
    76,980.80x = 5,494,766,334.72
  5. Step 5: Solve for x
    x = 5,494,766,334.72/76,980.80
  6. Step 6: Final answer
    x = 71,378.40

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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.