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Finding the Fourth Proportional to 55,782.44, 76,978.04 and 30,287.60

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Solution

The fourth proportional to 55,782.44, 76,978.04 and 30,287.60 is: 41,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,782.44 : 76,978.04 = 30,287.60 : x
  2. Step 2: Convert to fraction form
    55,782.44/76,978.04 = 30,287.60/x
  3. Step 3: Cross multiply
    55,782.44x = 76,978.04 × 30,287.60
  4. Step 4: Simplify right side
    55,782.44x = 2,331,480,084.30
  5. Step 5: Solve for x
    x = 2,331,480,084.30/55,782.44
  6. Step 6: Final answer
    x = 41,795.95

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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.