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Finding the Fourth Proportional to 143,135.76, 214,749 and 111,653.76

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Solution

The fourth proportional to 143,135.76, 214,749 and 111,653.76 is: 167,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,135.76 : 214,749 = 111,653.76 : x
  2. Step 2: Convert to fraction form
    143,135.76/214,749 = 111,653.76/x
  3. Step 3: Cross multiply
    143,135.76x = 214,749 × 111,653.76
  4. Step 4: Simplify right side
    143,135.76x = 23,977,533,306.24
  5. Step 5: Solve for x
    x = 23,977,533,306.24/143,135.76
  6. Step 6: Final answer
    x = 167,516.02

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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.