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Finding the Fourth Proportional to 258,846.60, 388,415.70 and 101,054.55

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Solution

The fourth proportional to 258,846.60, 388,415.70 and 101,054.55 is: 151,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,846.60 : 388,415.70 = 101,054.55 : x
  2. Step 2: Convert to fraction form
    258,846.60/388,415.70 = 101,054.55/x
  3. Step 3: Cross multiply
    258,846.60x = 388,415.70 × 101,054.55
  4. Step 4: Simplify right side
    258,846.60x = 39,251,173,776.44
  5. Step 5: Solve for x
    x = 39,251,173,776.44/258,846.60
  6. Step 6: Final answer
    x = 151,638.75

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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.