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Finding the Fourth Proportional to 143,212.14, 214,878.96 and 76,635

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Solution

The fourth proportional to 143,212.14, 214,878.96 and 76,635 is: 114,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,212.14 : 214,878.96 = 76,635 : x
  2. Step 2: Convert to fraction form
    143,212.14/214,878.96 = 76,635/x
  3. Step 3: Cross multiply
    143,212.14x = 214,878.96 × 76,635
  4. Step 4: Simplify right side
    143,212.14x = 16,467,249,099.60
  5. Step 5: Solve for x
    x = 16,467,249,099.60/143,212.14
  6. Step 6: Final answer
    x = 114,985.01

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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.