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Finding the Fourth Proportional to 208,143.60, 311,904.36 and 114,520.56

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Solution

The fourth proportional to 208,143.60, 311,904.36 and 114,520.56 is: 171,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,143.60 : 311,904.36 = 114,520.56 : x
  2. Step 2: Convert to fraction form
    208,143.60/311,904.36 = 114,520.56/x
  3. Step 3: Cross multiply
    208,143.60x = 311,904.36 × 114,520.56
  4. Step 4: Simplify right side
    208,143.60x = 35,719,461,973.64
  5. Step 5: Solve for x
    x = 35,719,461,973.64/208,143.60
  6. Step 6: Final answer
    x = 171,609.71

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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.