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Finding the Fourth Proportional to 258,857.70, 388,055.70 and 101,049.45

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Solution

The fourth proportional to 258,857.70, 388,055.70 and 101,049.45 is: 151,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,857.70 : 388,055.70 = 101,049.45 : x
  2. Step 2: Convert to fraction form
    258,857.70/388,055.70 = 101,049.45/x
  3. Step 3: Cross multiply
    258,857.70x = 388,055.70 × 101,049.45
  4. Step 4: Simplify right side
    258,857.70x = 39,212,815,054.37
  5. Step 5: Solve for x
    x = 39,212,815,054.37/258,857.70
  6. Step 6: Final answer
    x = 151,484.06

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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.