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Finding the Fourth Proportional to 143,291.84, 214,937.76 and 54,524.48

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Solution

The fourth proportional to 143,291.84, 214,937.76 and 54,524.48 is: 81,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,291.84 : 214,937.76 = 54,524.48 : x
  2. Step 2: Convert to fraction form
    143,291.84/214,937.76 = 54,524.48/x
  3. Step 3: Cross multiply
    143,291.84x = 214,937.76 × 54,524.48
  4. Step 4: Simplify right side
    143,291.84x = 11,719,369,596.36
  5. Step 5: Solve for x
    x = 11,719,369,596.36/143,291.84
  6. Step 6: Final answer
    x = 81,786.72

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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.