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Finding the Fourth Proportional to 143,211.74, 214,490.56 and 68,384.56

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Solution

The fourth proportional to 143,211.74, 214,490.56 and 68,384.56 is: 102,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,211.74 : 214,490.56 = 68,384.56 : x
  2. Step 2: Convert to fraction form
    143,211.74/214,490.56 = 68,384.56/x
  3. Step 3: Cross multiply
    143,211.74x = 214,490.56 × 68,384.56
  4. Step 4: Simplify right side
    143,211.74x = 14,667,842,569.75
  5. Step 5: Solve for x
    x = 14,667,842,569.75/143,211.74
  6. Step 6: Final answer
    x = 102,420.67

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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.