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Finding the Fourth Proportional to 143,321.40, 214,901.10 and 54,577.80

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Solution

The fourth proportional to 143,321.40, 214,901.10 and 54,577.80 is: 81,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,321.40 : 214,901.10 = 54,577.80 : x
  2. Step 2: Convert to fraction form
    143,321.40/214,901.10 = 54,577.80/x
  3. Step 3: Cross multiply
    143,321.40x = 214,901.10 × 54,577.80
  4. Step 4: Simplify right side
    143,321.40x = 11,728,829,255.58
  5. Step 5: Solve for x
    x = 11,728,829,255.58/143,321.40
  6. Step 6: Final answer
    x = 81,835.85

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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.