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Finding the Fourth Proportional to 74,497.42, 111,745.84 and 30,123.64

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Solution

The fourth proportional to 74,497.42, 111,745.84 and 30,123.64 is: 45,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,497.42 : 111,745.84 = 30,123.64 : x
  2. Step 2: Convert to fraction form
    74,497.42/111,745.84 = 30,123.64/x
  3. Step 3: Cross multiply
    74,497.42x = 111,745.84 × 30,123.64
  4. Step 4: Simplify right side
    74,497.42x = 3,366,191,455.66
  5. Step 5: Solve for x
    x = 3,366,191,455.66/74,497.42
  6. Step 6: Final answer
    x = 45,185.34

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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.