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Finding the Fourth Proportional to 179,768.25, 248,080.19 and 100,280.25

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Solution

The fourth proportional to 179,768.25, 248,080.19 and 100,280.25 is: 138,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,768.25 : 248,080.19 = 100,280.25 : x
  2. Step 2: Convert to fraction form
    179,768.25/248,080.19 = 100,280.25/x
  3. Step 3: Cross multiply
    179,768.25x = 248,080.19 × 100,280.25
  4. Step 4: Simplify right side
    179,768.25x = 24,877,542,971.85
  5. Step 5: Solve for x
    x = 24,877,542,971.85/179,768.25
  6. Step 6: Final answer
    x = 138,386.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.