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Finding the Fourth Proportional to 76,013.40, 114,020.10 and 74,976.60

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Solution

The fourth proportional to 76,013.40, 114,020.10 and 74,976.60 is: 112,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,013.40 : 114,020.10 = 74,976.60 : x
  2. Step 2: Convert to fraction form
    76,013.40/114,020.10 = 74,976.60/x
  3. Step 3: Cross multiply
    76,013.40x = 114,020.10 × 74,976.60
  4. Step 4: Simplify right side
    76,013.40x = 8,548,839,429.66
  5. Step 5: Solve for x
    x = 8,548,839,429.66/76,013.40
  6. Step 6: Final answer
    x = 112,464.90

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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.