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Finding the Fourth Proportional to 143,047.60, 214,712.64 and 107,384.92

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Solution

The fourth proportional to 143,047.60, 214,712.64 and 107,384.92 is: 161,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,047.60 : 214,712.64 = 107,384.92 : x
  2. Step 2: Convert to fraction form
    143,047.60/214,712.64 = 107,384.92/x
  3. Step 3: Cross multiply
    143,047.60x = 214,712.64 × 107,384.92
  4. Step 4: Simplify right side
    143,047.60x = 23,056,899,669.39
  5. Step 5: Solve for x
    x = 23,056,899,669.39/143,047.60
  6. Step 6: Final answer
    x = 161,183.41

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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.