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Finding the Fourth Proportional to 143,088.60, 214,563.78 and 83,943.48

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Solution

The fourth proportional to 143,088.60, 214,563.78 and 83,943.48 is: 125,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,088.60 : 214,563.78 = 83,943.48 : x
  2. Step 2: Convert to fraction form
    143,088.60/214,563.78 = 83,943.48/x
  3. Step 3: Cross multiply
    143,088.60x = 214,563.78 × 83,943.48
  4. Step 4: Simplify right side
    143,088.60x = 18,011,230,375.15
  5. Step 5: Solve for x
    x = 18,011,230,375.15/143,088.60
  6. Step 6: Final answer
    x = 125,874.67

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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.