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Finding the Fourth Proportional to 100,582.22, 138,820.30 and 57,563.48

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Solution

The fourth proportional to 100,582.22, 138,820.30 and 57,563.48 is: 79,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582.22 : 138,820.30 = 57,563.48 : x
  2. Step 2: Convert to fraction form
    100,582.22/138,820.30 = 57,563.48/x
  3. Step 3: Cross multiply
    100,582.22x = 138,820.30 × 57,563.48
  4. Step 4: Simplify right side
    100,582.22x = 7,990,979,562.64
  5. Step 5: Solve for x
    x = 7,990,979,562.64/100,582.22
  6. Step 6: Final answer
    x = 79,447.24

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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.