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Finding the Fourth Proportional to 165,740.70, 248,611.05 and 76,964.70

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Solution

The fourth proportional to 165,740.70, 248,611.05 and 76,964.70 is: 115,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,740.70 : 248,611.05 = 76,964.70 : x
  2. Step 2: Convert to fraction form
    165,740.70/248,611.05 = 76,964.70/x
  3. Step 3: Cross multiply
    165,740.70x = 248,611.05 × 76,964.70
  4. Step 4: Simplify right side
    165,740.70x = 19,134,274,879.94
  5. Step 5: Solve for x
    x = 19,134,274,879.94/165,740.70
  6. Step 6: Final answer
    x = 115,447.05

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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.