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Finding the Fourth Proportional to 258,494.58, 387,741.96 and 81,015.36

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Solution

The fourth proportional to 258,494.58, 387,741.96 and 81,015.36 is: 121,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,494.58 : 387,741.96 = 81,015.36 : x
  2. Step 2: Convert to fraction form
    258,494.58/387,741.96 = 81,015.36/x
  3. Step 3: Cross multiply
    258,494.58x = 387,741.96 × 81,015.36
  4. Step 4: Simplify right side
    258,494.58x = 31,413,054,476.51
  5. Step 5: Solve for x
    x = 31,413,054,476.51/258,494.58
  6. Step 6: Final answer
    x = 121,523.07

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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.