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Finding the Fourth Proportional to 215,189.50, 296,961.51 and 120,981.50

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Solution

The fourth proportional to 215,189.50, 296,961.51 and 120,981.50 is: 166,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,189.50 : 296,961.51 = 120,981.50 : x
  2. Step 2: Convert to fraction form
    215,189.50/296,961.51 = 120,981.50/x
  3. Step 3: Cross multiply
    215,189.50x = 296,961.51 × 120,981.50
  4. Step 4: Simplify right side
    215,189.50x = 35,926,848,922.07
  5. Step 5: Solve for x
    x = 35,926,848,922.07/215,189.50
  6. Step 6: Final answer
    x = 166,954.47

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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.