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Finding the Fourth Proportional to 168,157.60, 231,978.32 and 100,135.84

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Solution

The fourth proportional to 168,157.60, 231,978.32 and 100,135.84 is: 138,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,157.60 : 231,978.32 = 100,135.84 : x
  2. Step 2: Convert to fraction form
    168,157.60/231,978.32 = 100,135.84/x
  3. Step 3: Cross multiply
    168,157.60x = 231,978.32 × 100,135.84
  4. Step 4: Simplify right side
    168,157.60x = 23,229,343,934.99
  5. Step 5: Solve for x
    x = 23,229,343,934.99/168,157.60
  6. Step 6: Final answer
    x = 138,140.32

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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.