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Finding the Fourth Proportional to 77,876.67, 116,824.79 and 30,485.67

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Solution

The fourth proportional to 77,876.67, 116,824.79 and 30,485.67 is: 45,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,876.67 : 116,824.79 = 30,485.67 : x
  2. Step 2: Convert to fraction form
    77,876.67/116,824.79 = 30,485.67/x
  3. Step 3: Cross multiply
    77,876.67x = 116,824.79 × 30,485.67
  4. Step 4: Simplify right side
    77,876.67x = 3,561,481,995.76
  5. Step 5: Solve for x
    x = 3,561,481,995.76/77,876.67
  6. Step 6: Final answer
    x = 45,732.34

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1.5x scale

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.