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Finding the Fourth Proportional to 270,194.90, 405,336.39 and 83,206.40

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Solution

The fourth proportional to 270,194.90, 405,336.39 and 83,206.40 is: 124,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,194.90 : 405,336.39 = 83,206.40 : x
  2. Step 2: Convert to fraction form
    270,194.90/405,336.39 = 83,206.40/x
  3. Step 3: Cross multiply
    270,194.90x = 405,336.39 × 83,206.40
  4. Step 4: Simplify right side
    270,194.90x = 33,726,579,462.19
  5. Step 5: Solve for x
    x = 33,726,579,462.19/270,194.90
  6. Step 6: Final answer
    x = 124,823.16

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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.