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Finding the Fourth Proportional to 301,054.77, 451,495.89 and 121,140

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Solution

The fourth proportional to 301,054.77, 451,495.89 and 121,140 is: 181,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,054.77 : 451,495.89 = 121,140 : x
  2. Step 2: Convert to fraction form
    301,054.77/451,495.89 = 121,140/x
  3. Step 3: Cross multiply
    301,054.77x = 451,495.89 × 121,140
  4. Step 4: Simplify right side
    301,054.77x = 54,694,212,114.60
  5. Step 5: Solve for x
    x = 54,694,212,114.60/301,054.77
  6. Step 6: Final answer
    x = 181,675.29

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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.