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Finding the Fourth Proportional to 100,202.64, 138,281.22 and 54,879.81

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Solution

The fourth proportional to 100,202.64, 138,281.22 and 54,879.81 is: 75,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.64 : 138,281.22 = 54,879.81 : x
  2. Step 2: Convert to fraction form
    100,202.64/138,281.22 = 54,879.81/x
  3. Step 3: Cross multiply
    100,202.64x = 138,281.22 × 54,879.81
  4. Step 4: Simplify right side
    100,202.64x = 7,588,847,080.17
  5. Step 5: Solve for x
    x = 7,588,847,080.17/100,202.64
  6. Step 6: Final answer
    x = 75,735.00

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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.