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Finding the Fourth Proportional to 257,978.20, 387,116.78 and 108,205.16

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Solution

The fourth proportional to 257,978.20, 387,116.78 and 108,205.16 is: 162,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,978.20 : 387,116.78 = 108,205.16 : x
  2. Step 2: Convert to fraction form
    257,978.20/387,116.78 = 108,205.16/x
  3. Step 3: Cross multiply
    257,978.20x = 387,116.78 × 108,205.16
  4. Step 4: Simplify right side
    257,978.20x = 41,888,033,118.58
  5. Step 5: Solve for x
    x = 41,888,033,118.58/257,978.20
  6. Step 6: Final answer
    x = 162,370.44

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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.