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Finding the Fourth Proportional to 143,188.64, 214,722.80 and 54,393.12

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Solution

The fourth proportional to 143,188.64, 214,722.80 and 54,393.12 is: 81,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,188.64 : 214,722.80 = 54,393.12 : x
  2. Step 2: Convert to fraction form
    143,188.64/214,722.80 = 54,393.12/x
  3. Step 3: Cross multiply
    143,188.64x = 214,722.80 × 54,393.12
  4. Step 4: Simplify right side
    143,188.64x = 11,679,443,027.14
  5. Step 5: Solve for x
    x = 11,679,443,027.14/143,188.64
  6. Step 6: Final answer
    x = 81,566.83

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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.