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Finding the Fourth Proportional to 143,005.62, 214,424.32 and 54,265.37

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Solution

The fourth proportional to 143,005.62, 214,424.32 and 54,265.37 is: 81,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,005.62 : 214,424.32 = 54,265.37 : x
  2. Step 2: Convert to fraction form
    143,005.62/214,424.32 = 54,265.37/x
  3. Step 3: Cross multiply
    143,005.62x = 214,424.32 × 54,265.37
  4. Step 4: Simplify right side
    143,005.62x = 11,635,815,061.80
  5. Step 5: Solve for x
    x = 11,635,815,061.80/143,005.62
  6. Step 6: Final answer
    x = 81,366.14

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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.