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Finding the Fourth Proportional to 258,867.58, 388,142.80 and 100,911.50

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Solution

The fourth proportional to 258,867.58, 388,142.80 and 100,911.50 is: 151,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,867.58 : 388,142.80 = 100,911.50 : x
  2. Step 2: Convert to fraction form
    258,867.58/388,142.80 = 100,911.50/x
  3. Step 3: Cross multiply
    258,867.58x = 388,142.80 × 100,911.50
  4. Step 4: Simplify right side
    258,867.58x = 39,168,072,162.20
  5. Step 5: Solve for x
    x = 39,168,072,162.20/258,867.58
  6. Step 6: Final answer
    x = 151,305.44

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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.