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Finding the Fourth Proportional to 77,115.76, 115,673.60 and 21,711.76

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Solution

The fourth proportional to 77,115.76, 115,673.60 and 21,711.76 is: 32,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,115.76 : 115,673.60 = 21,711.76 : x
  2. Step 2: Convert to fraction form
    77,115.76/115,673.60 = 21,711.76/x
  3. Step 3: Cross multiply
    77,115.76x = 115,673.60 × 21,711.76
  4. Step 4: Simplify right side
    77,115.76x = 2,511,477,441.54
  5. Step 5: Solve for x
    x = 2,511,477,441.54/77,115.76
  6. Step 6: Final answer
    x = 32,567.63

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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.