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Finding the Fourth Proportional to 255,891.20, 383,721.60 and 115,577.60

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Solution

The fourth proportional to 255,891.20, 383,721.60 and 115,577.60 is: 173,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,891.20 : 383,721.60 = 115,577.60 : x
  2. Step 2: Convert to fraction form
    255,891.20/383,721.60 = 115,577.60/x
  3. Step 3: Cross multiply
    255,891.20x = 383,721.60 × 115,577.60
  4. Step 4: Simplify right side
    255,891.20x = 44,349,621,596.16
  5. Step 5: Solve for x
    x = 44,349,621,596.16/255,891.20
  6. Step 6: Final answer
    x = 173,314.37

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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.