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Finding the Fourth Proportional to 230,978.63, 346,467.95 and 86,911.54

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Solution

The fourth proportional to 230,978.63, 346,467.95 and 86,911.54 is: 130,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,978.63 : 346,467.95 = 86,911.54 : x
  2. Step 2: Convert to fraction form
    230,978.63/346,467.95 = 86,911.54/x
  3. Step 3: Cross multiply
    230,978.63x = 346,467.95 × 86,911.54
  4. Step 4: Simplify right side
    230,978.63x = 30,112,062,120.33
  5. Step 5: Solve for x
    x = 30,112,062,120.33/230,978.63
  6. Step 6: Final answer
    x = 130,367.31

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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.