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Finding the Fourth Proportional to 74,455.88, 102,749.52 and 40,464.64

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Solution

The fourth proportional to 74,455.88, 102,749.52 and 40,464.64 is: 55,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,455.88 : 102,749.52 = 40,464.64 : x
  2. Step 2: Convert to fraction form
    74,455.88/102,749.52 = 40,464.64/x
  3. Step 3: Cross multiply
    74,455.88x = 102,749.52 × 40,464.64
  4. Step 4: Simplify right side
    74,455.88x = 4,157,722,336.97
  5. Step 5: Solve for x
    x = 4,157,722,336.97/74,455.88
  6. Step 6: Final answer
    x = 55,841.42

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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.