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Finding the Fourth Proportional to 103,771.96, 143,216.07 and 63,512.53

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Solution

The fourth proportional to 103,771.96, 143,216.07 and 63,512.53 is: 87,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,771.96 : 143,216.07 = 63,512.53 : x
  2. Step 2: Convert to fraction form
    103,771.96/143,216.07 = 63,512.53/x
  3. Step 3: Cross multiply
    103,771.96x = 143,216.07 × 63,512.53
  4. Step 4: Simplify right side
    103,771.96x = 9,096,014,346.14
  5. Step 5: Solve for x
    x = 9,096,014,346.14/103,771.96
  6. Step 6: Final answer
    x = 87,653.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.