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Finding the Fourth Proportional to 188,978,412.60, 283,467,618.90 and 161,768,633.40

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Solution

The fourth proportional to 188,978,412.60, 283,467,618.90 and 161,768,633.40 is: 242,652,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,978,412.60 : 283,467,618.90 = 161,768,633.40 : x
  2. Step 2: Convert to fraction form
    188,978,412.60/283,467,618.90 = 161,768,633.40/x
  3. Step 3: Cross multiply
    188,978,412.60x = 283,467,618.90 × 161,768,633.40
  4. Step 4: Simplify right side
    188,978,412.60x = 45,856,169,322,605,008
  5. Step 5: Solve for x
    x = 45,856,169,322,605,008/188,978,412.60
  6. Step 6: Final answer
    x = 242,652,950.10

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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.