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Finding the Fourth Proportional to 210,661.11, 315,927.40 and 110,767.11

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Solution

The fourth proportional to 210,661.11, 315,927.40 and 110,767.11 is: 166,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,661.11 : 315,927.40 = 110,767.11 : x
  2. Step 2: Convert to fraction form
    210,661.11/315,927.40 = 110,767.11/x
  3. Step 3: Cross multiply
    210,661.11x = 315,927.40 × 110,767.11
  4. Step 4: Simplify right side
    210,661.11x = 34,994,365,067.81
  5. Step 5: Solve for x
    x = 34,994,365,067.81/210,661.11
  6. Step 6: Final answer
    x = 166,116.87

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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.