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Finding the Fourth Proportional to 210,991.44, 291,160.89 and 120,376.74

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Solution

The fourth proportional to 210,991.44, 291,160.89 and 120,376.74 is: 166,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,991.44 : 291,160.89 = 120,376.74 : x
  2. Step 2: Convert to fraction form
    210,991.44/291,160.89 = 120,376.74/x
  3. Step 3: Cross multiply
    210,991.44x = 291,160.89 × 120,376.74
  4. Step 4: Simplify right side
    210,991.44x = 35,048,998,753.70
  5. Step 5: Solve for x
    x = 35,048,998,753.70/210,991.44
  6. Step 6: Final answer
    x = 166,115.74

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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.