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Finding the Fourth Proportional to 255,147.87, 382,485.15 and 112,917.54

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Solution

The fourth proportional to 255,147.87, 382,485.15 and 112,917.54 is: 169,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,147.87 : 382,485.15 = 112,917.54 : x
  2. Step 2: Convert to fraction form
    255,147.87/382,485.15 = 112,917.54/x
  3. Step 3: Cross multiply
    255,147.87x = 382,485.15 × 112,917.54
  4. Step 4: Simplify right side
    255,147.87x = 43,189,282,224.53
  5. Step 5: Solve for x
    x = 43,189,282,224.53/255,147.87
  6. Step 6: Final answer
    x = 169,271.58

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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.