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Finding the Fourth Proportional to 143,142.40, 214,750.72 and 54,397.44

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Solution

The fourth proportional to 143,142.40, 214,750.72 and 54,397.44 is: 81,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,142.40 : 214,750.72 = 54,397.44 : x
  2. Step 2: Convert to fraction form
    143,142.40/214,750.72 = 54,397.44/x
  3. Step 3: Cross multiply
    143,142.40x = 214,750.72 × 54,397.44
  4. Step 4: Simplify right side
    143,142.40x = 11,681,889,406.16
  5. Step 5: Solve for x
    x = 11,681,889,406.16/143,142.40
  6. Step 6: Final answer
    x = 81,610.27

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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.