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Finding the Fourth Proportional to 143,092.14, 214,638 and 54,345.48

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Solution

The fourth proportional to 143,092.14, 214,638 and 54,345.48 is: 81,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,092.14 : 214,638 = 54,345.48 : x
  2. Step 2: Convert to fraction form
    143,092.14/214,638 = 54,345.48/x
  3. Step 3: Cross multiply
    143,092.14x = 214,638 × 54,345.48
  4. Step 4: Simplify right side
    143,092.14x = 11,664,605,136.24
  5. Step 5: Solve for x
    x = 11,664,605,136.24/143,092.14
  6. Step 6: Final answer
    x = 81,518.14

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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.