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Finding the Fourth Proportional to 83,144.88, 114,739.74 and 45,419.40

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Solution

The fourth proportional to 83,144.88, 114,739.74 and 45,419.40 is: 62,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,144.88 : 114,739.74 = 45,419.40 : x
  2. Step 2: Convert to fraction form
    83,144.88/114,739.74 = 45,419.40/x
  3. Step 3: Cross multiply
    83,144.88x = 114,739.74 × 45,419.40
  4. Step 4: Simplify right side
    83,144.88x = 5,211,410,146.96
  5. Step 5: Solve for x
    x = 5,211,410,146.96/83,144.88
  6. Step 6: Final answer
    x = 62,678.67

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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.