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Finding the Fourth Proportional to 100,201.78, 138,280.94 and 54,881.67

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Solution

The fourth proportional to 100,201.78, 138,280.94 and 54,881.67 is: 75,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,201.78 : 138,280.94 = 54,881.67 : x
  2. Step 2: Convert to fraction form
    100,201.78/138,280.94 = 54,881.67/x
  3. Step 3: Cross multiply
    100,201.78x = 138,280.94 × 54,881.67
  4. Step 4: Simplify right side
    100,201.78x = 7,589,088,916.37
  5. Step 5: Solve for x
    x = 7,589,088,916.37/100,201.78
  6. Step 6: Final answer
    x = 75,738.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.