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Finding the Fourth Proportional to 104,978.24, 144,865.60 and 57,230.56

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Solution

The fourth proportional to 104,978.24, 144,865.60 and 57,230.56 is: 78,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,978.24 : 144,865.60 = 57,230.56 : x
  2. Step 2: Convert to fraction form
    104,978.24/144,865.60 = 57,230.56/x
  3. Step 3: Cross multiply
    104,978.24x = 144,865.60 × 57,230.56
  4. Step 4: Simplify right side
    104,978.24x = 8,290,739,412.74
  5. Step 5: Solve for x
    x = 8,290,739,412.74/104,978.24
  6. Step 6: Final answer
    x = 78,975.79

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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.