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Finding the Fourth Proportional to 77,697.60, 116,546.39 and 51,396.20

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Solution

The fourth proportional to 77,697.60, 116,546.39 and 51,396.20 is: 77,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,697.60 : 116,546.39 = 51,396.20 : x
  2. Step 2: Convert to fraction form
    77,697.60/116,546.39 = 51,396.20/x
  3. Step 3: Cross multiply
    77,697.60x = 116,546.39 × 51,396.20
  4. Step 4: Simplify right side
    77,697.60x = 5,990,040,730.01
  5. Step 5: Solve for x
    x = 5,990,040,730.01/77,697.60
  6. Step 6: Final answer
    x = 77,094.28

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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.