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Finding the Fourth Proportional to 143,233.84, 214,555.51 and 83,889.60

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Solution

The fourth proportional to 143,233.84, 214,555.51 and 83,889.60 is: 125,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,233.84 : 214,555.51 = 83,889.60 : x
  2. Step 2: Convert to fraction form
    143,233.84/214,555.51 = 83,889.60/x
  3. Step 3: Cross multiply
    143,233.84x = 214,555.51 × 83,889.60
  4. Step 4: Simplify right side
    143,233.84x = 17,998,975,911.70
  5. Step 5: Solve for x
    x = 17,998,975,911.70/143,233.84
  6. Step 6: Final answer
    x = 125,661.48

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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.