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Finding the Fourth Proportional to 143,898.86, 214,782.57 and 135,034.22

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Solution

The fourth proportional to 143,898.86, 214,782.57 and 135,034.22 is: 201,551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,898.86 : 214,782.57 = 135,034.22 : x
  2. Step 2: Convert to fraction form
    143,898.86/214,782.57 = 135,034.22/x
  3. Step 3: Cross multiply
    143,898.86x = 214,782.57 × 135,034.22
  4. Step 4: Simplify right side
    143,898.86x = 29,002,997,346.50
  5. Step 5: Solve for x
    x = 29,002,997,346.50/143,898.86
  6. Step 6: Final answer
    x = 201,551.26

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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.