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Finding the Fourth Proportional to 77,142.54, 115,728.24 and 35,025.54

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Solution

The fourth proportional to 77,142.54, 115,728.24 and 35,025.54 is: 52,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,142.54 : 115,728.24 = 35,025.54 : x
  2. Step 2: Convert to fraction form
    77,142.54/115,728.24 = 35,025.54/x
  3. Step 3: Cross multiply
    77,142.54x = 115,728.24 × 35,025.54
  4. Step 4: Simplify right side
    77,142.54x = 4,053,444,099.25
  5. Step 5: Solve for x
    x = 4,053,444,099.25/77,142.54
  6. Step 6: Final answer
    x = 52,544.86

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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.