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Finding the Fourth Proportional to 143,486.53, 214,933.33 and 84,143.50

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Solution

The fourth proportional to 143,486.53, 214,933.33 and 84,143.50 is: 126,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,486.53 : 214,933.33 = 84,143.50 : x
  2. Step 2: Convert to fraction form
    143,486.53/214,933.33 = 84,143.50/x
  3. Step 3: Cross multiply
    143,486.53x = 214,933.33 × 84,143.50
  4. Step 4: Simplify right side
    143,486.53x = 18,085,242,220.70
  5. Step 5: Solve for x
    x = 18,085,242,220.70/143,486.53
  6. Step 6: Final answer
    x = 126,041.40

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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.