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Finding the Fourth Proportional to 143,358.40, 214,964.70 and 84,212.20

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Solution

The fourth proportional to 143,358.40, 214,964.70 and 84,212.20 is: 126,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,358.40 : 214,964.70 = 84,212.20 : x
  2. Step 2: Convert to fraction form
    143,358.40/214,964.70 = 84,212.20/x
  3. Step 3: Cross multiply
    143,358.40x = 214,964.70 × 84,212.20
  4. Step 4: Simplify right side
    143,358.40x = 18,102,650,309.34
  5. Step 5: Solve for x
    x = 18,102,650,309.34/143,358.40
  6. Step 6: Final answer
    x = 126,275.48

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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.