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Finding the Fourth Proportional to 76,080.44, 104,978.76 and 47,824.40

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Solution

The fourth proportional to 76,080.44, 104,978.76 and 47,824.40 is: 65,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,080.44 : 104,978.76 = 47,824.40 : x
  2. Step 2: Convert to fraction form
    76,080.44/104,978.76 = 47,824.40/x
  3. Step 3: Cross multiply
    76,080.44x = 104,978.76 × 47,824.40
  4. Step 4: Simplify right side
    76,080.44x = 5,020,546,209.74
  5. Step 5: Solve for x
    x = 5,020,546,209.74/76,080.44
  6. Step 6: Final answer
    x = 65,989.97

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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.