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Finding the Fourth Proportional to 143,012.81, 214,452.48 and 53,051.90

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Solution

The fourth proportional to 143,012.81, 214,452.48 and 53,051.90 is: 79,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,012.81 : 214,452.48 = 53,051.90 : x
  2. Step 2: Convert to fraction form
    143,012.81/214,452.48 = 53,051.90/x
  3. Step 3: Cross multiply
    143,012.81x = 214,452.48 × 53,051.90
  4. Step 4: Simplify right side
    143,012.81x = 11,377,111,523.71
  5. Step 5: Solve for x
    x = 11,377,111,523.71/143,012.81
  6. Step 6: Final answer
    x = 79,553.09

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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.