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Finding the Fourth Proportional to 258,114, 387,185.58 and 91,902

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Solution

The fourth proportional to 258,114, 387,185.58 and 91,902 is: 137,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,114 : 387,185.58 = 91,902 : x
  2. Step 2: Convert to fraction form
    258,114/387,185.58 = 91,902/x
  3. Step 3: Cross multiply
    258,114x = 387,185.58 × 91,902
  4. Step 4: Simplify right side
    258,114x = 35,583,129,173.16
  5. Step 5: Solve for x
    x = 35,583,129,173.16/258,114
  6. Step 6: Final answer
    x = 137,858.19

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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.