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Finding the Fourth Proportional to 218,188.17, 301,097.79 and 122,692.83

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Solution

The fourth proportional to 218,188.17, 301,097.79 and 122,692.83 is: 169,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,188.17 : 301,097.79 = 122,692.83 : x
  2. Step 2: Convert to fraction form
    218,188.17/301,097.79 = 122,692.83/x
  3. Step 3: Cross multiply
    218,188.17x = 301,097.79 × 122,692.83
  4. Step 4: Simplify right side
    218,188.17x = 36,942,539,961.85
  5. Step 5: Solve for x
    x = 36,942,539,961.85/218,188.17
  6. Step 6: Final answer
    x = 169,315.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.