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Finding the Fourth Proportional to 143,078.90, 214,619.56 and 54,308.56

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Solution

The fourth proportional to 143,078.90, 214,619.56 and 54,308.56 is: 81,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,078.90 : 214,619.56 = 54,308.56 : x
  2. Step 2: Convert to fraction form
    143,078.90/214,619.56 = 54,308.56/x
  3. Step 3: Cross multiply
    143,078.90x = 214,619.56 × 54,308.56
  4. Step 4: Simplify right side
    143,078.90x = 11,655,679,251.43
  5. Step 5: Solve for x
    x = 11,655,679,251.43/143,078.90
  6. Step 6: Final answer
    x = 81,463.30

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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.