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Finding the Fourth Proportional to 258,608.54, 387,927.38 and 78,699.82

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Solution

The fourth proportional to 258,608.54, 387,927.38 and 78,699.82 is: 118,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,608.54 : 387,927.38 = 78,699.82 : x
  2. Step 2: Convert to fraction form
    258,608.54/387,927.38 = 78,699.82/x
  3. Step 3: Cross multiply
    258,608.54x = 387,927.38 × 78,699.82
  4. Step 4: Simplify right side
    258,608.54x = 30,529,814,979.07
  5. Step 5: Solve for x
    x = 30,529,814,979.07/258,608.54
  6. Step 6: Final answer
    x = 118,054.16

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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.