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Finding the Fourth Proportional to 200,478.25, 276,659.99 and 111,054.25

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Solution

The fourth proportional to 200,478.25, 276,659.99 and 111,054.25 is: 153,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,478.25 : 276,659.99 = 111,054.25 : x
  2. Step 2: Convert to fraction form
    200,478.25/276,659.99 = 111,054.25/x
  3. Step 3: Cross multiply
    200,478.25x = 276,659.99 × 111,054.25
  4. Step 4: Simplify right side
    200,478.25x = 30,724,267,694.46
  5. Step 5: Solve for x
    x = 30,724,267,694.46/200,478.25
  6. Step 6: Final answer
    x = 153,254.87

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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.