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Finding the Fourth Proportional to 143,225.91, 214,736.67 and 67,282.07

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Solution

The fourth proportional to 143,225.91, 214,736.67 and 67,282.07 is: 100,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,225.91 : 214,736.67 = 67,282.07 : x
  2. Step 2: Convert to fraction form
    143,225.91/214,736.67 = 67,282.07/x
  3. Step 3: Cross multiply
    143,225.91x = 214,736.67 × 67,282.07
  4. Step 4: Simplify right side
    143,225.91x = 14,447,927,377.97
  5. Step 5: Solve for x
    x = 14,447,927,377.97/143,225.91
  6. Step 6: Final answer
    x = 100,875.09

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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.