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Finding the Fourth Proportional to 143,359.66, 213,965.42 and 140,994.66

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Solution

The fourth proportional to 143,359.66, 213,965.42 and 140,994.66 is: 210,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,359.66 : 213,965.42 = 140,994.66 : x
  2. Step 2: Convert to fraction form
    143,359.66/213,965.42 = 140,994.66/x
  3. Step 3: Cross multiply
    143,359.66x = 213,965.42 × 140,994.66
  4. Step 4: Simplify right side
    143,359.66x = 30,167,981,644.66
  5. Step 5: Solve for x
    x = 30,167,981,644.66/143,359.66
  6. Step 6: Final answer
    x = 210,435.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.