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Finding the Fourth Proportional to 76,114.80, 113,999.40 and 48,121.20

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Solution

The fourth proportional to 76,114.80, 113,999.40 and 48,121.20 is: 72,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,114.80 : 113,999.40 = 48,121.20 : x
  2. Step 2: Convert to fraction form
    76,114.80/113,999.40 = 48,121.20/x
  3. Step 3: Cross multiply
    76,114.80x = 113,999.40 × 48,121.20
  4. Step 4: Simplify right side
    76,114.80x = 5,485,787,927.28
  5. Step 5: Solve for x
    x = 5,485,787,927.28/76,114.80
  6. Step 6: Final answer
    x = 72,072.55

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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.