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Finding the Fourth Proportional to 301,129.92, 451,716.75 and 90,784.26

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Solution

The fourth proportional to 301,129.92, 451,716.75 and 90,784.26 is: 136,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,129.92 : 451,716.75 = 90,784.26 : x
  2. Step 2: Convert to fraction form
    301,129.92/451,716.75 = 90,784.26/x
  3. Step 3: Cross multiply
    301,129.92x = 451,716.75 × 90,784.26
  4. Step 4: Simplify right side
    301,129.92x = 41,008,770,878.36
  5. Step 5: Solve for x
    x = 41,008,770,878.36/301,129.92
  6. Step 6: Final answer
    x = 136,182.98

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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.