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Finding the Fourth Proportional to 165,692.80, 248,612.10 and 76,900.60

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Solution

The fourth proportional to 165,692.80, 248,612.10 and 76,900.60 is: 115,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,692.80 : 248,612.10 = 76,900.60 : x
  2. Step 2: Convert to fraction form
    165,692.80/248,612.10 = 76,900.60/x
  3. Step 3: Cross multiply
    165,692.80x = 248,612.10 × 76,900.60
  4. Step 4: Simplify right side
    165,692.80x = 19,118,419,657.26
  5. Step 5: Solve for x
    x = 19,118,419,657.26/165,692.80
  6. Step 6: Final answer
    x = 115,384.73

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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.