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Finding the Fourth Proportional to 100,933.60, 151,400.40 and 74,495.20

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Solution

The fourth proportional to 100,933.60, 151,400.40 and 74,495.20 is: 111,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,933.60 : 151,400.40 = 74,495.20 : x
  2. Step 2: Convert to fraction form
    100,933.60/151,400.40 = 74,495.20/x
  3. Step 3: Cross multiply
    100,933.60x = 151,400.40 × 74,495.20
  4. Step 4: Simplify right side
    100,933.60x = 11,278,603,078.08
  5. Step 5: Solve for x
    x = 11,278,603,078.08/100,933.60
  6. Step 6: Final answer
    x = 111,742.80

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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.