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Finding the Fourth Proportional to 143,206.60, 214,664.10 and 84,011.80

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Solution

The fourth proportional to 143,206.60, 214,664.10 and 84,011.80 is: 125,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,206.60 : 214,664.10 = 84,011.80 : x
  2. Step 2: Convert to fraction form
    143,206.60/214,664.10 = 84,011.80/x
  3. Step 3: Cross multiply
    143,206.60x = 214,664.10 × 84,011.80
  4. Step 4: Simplify right side
    143,206.60x = 18,034,317,436.38
  5. Step 5: Solve for x
    x = 18,034,317,436.38/143,206.60
  6. Step 6: Final answer
    x = 125,932.17

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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.