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Finding the Fourth Proportional to 51,438.90, 77,078.54 and 35,674.68

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Solution

The fourth proportional to 51,438.90, 77,078.54 and 35,674.68 is: 53,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,438.90 : 77,078.54 = 35,674.68 : x
  2. Step 2: Convert to fraction form
    51,438.90/77,078.54 = 35,674.68/x
  3. Step 3: Cross multiply
    51,438.90x = 77,078.54 × 35,674.68
  4. Step 4: Simplify right side
    51,438.90x = 2,749,752,249.37
  5. Step 5: Solve for x
    x = 2,749,752,249.37/51,438.90
  6. Step 6: Final answer
    x = 53,456.67

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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.