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Finding the Fourth Proportional to 143,164.20, 214,919.10 and 142,127.40

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Solution

The fourth proportional to 143,164.20, 214,919.10 and 142,127.40 is: 213,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,164.20 : 214,919.10 = 142,127.40 : x
  2. Step 2: Convert to fraction form
    143,164.20/214,919.10 = 142,127.40/x
  3. Step 3: Cross multiply
    143,164.20x = 214,919.10 × 142,127.40
  4. Step 4: Simplify right side
    143,164.20x = 30,545,892,893.34
  5. Step 5: Solve for x
    x = 30,545,892,893.34/143,164.20
  6. Step 6: Final answer
    x = 213,362.65

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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.