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Finding the Fourth Proportional to 74,322.45, 111,469.65 and 21,014

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Solution

The fourth proportional to 74,322.45, 111,469.65 and 21,014 is: 31,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,322.45 : 111,469.65 = 21,014 : x
  2. Step 2: Convert to fraction form
    74,322.45/111,469.65 = 21,014/x
  3. Step 3: Cross multiply
    74,322.45x = 111,469.65 × 21,014
  4. Step 4: Simplify right side
    74,322.45x = 2,342,423,225.10
  5. Step 5: Solve for x
    x = 2,342,423,225.10/74,322.45
  6. Step 6: Final answer
    x = 31,517.03

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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.