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Finding the Fourth Proportional to 143,117.74, 214,669.77 and 54,364.33

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Solution

The fourth proportional to 143,117.74, 214,669.77 and 54,364.33 is: 81,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,117.74 : 214,669.77 = 54,364.33 : x
  2. Step 2: Convert to fraction form
    143,117.74/214,669.77 = 54,364.33/x
  3. Step 3: Cross multiply
    143,117.74x = 214,669.77 × 54,364.33
  4. Step 4: Simplify right side
    143,117.74x = 11,670,378,217.30
  5. Step 5: Solve for x
    x = 11,670,378,217.30/143,117.74
  6. Step 6: Final answer
    x = 81,543.90

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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.