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Finding the Fourth Proportional to 270,010.40, 405,015.60 and 83,021.90

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Solution

The fourth proportional to 270,010.40, 405,015.60 and 83,021.90 is: 124,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,010.40 : 405,015.60 = 83,021.90 : x
  2. Step 2: Convert to fraction form
    270,010.40/405,015.60 = 83,021.90/x
  3. Step 3: Cross multiply
    270,010.40x = 405,015.60 × 83,021.90
  4. Step 4: Simplify right side
    270,010.40x = 33,625,164,641.64
  5. Step 5: Solve for x
    x = 33,625,164,641.64/270,010.40
  6. Step 6: Final answer
    x = 124,532.85

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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.