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Finding the Fourth Proportional to 270,038.88, 405,064.80 and 83,052

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Solution

The fourth proportional to 270,038.88, 405,064.80 and 83,052 is: 124,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,038.88 : 405,064.80 = 83,052 : x
  2. Step 2: Convert to fraction form
    270,038.88/405,064.80 = 83,052/x
  3. Step 3: Cross multiply
    270,038.88x = 405,064.80 × 83,052
  4. Step 4: Simplify right side
    270,038.88x = 33,641,441,769.60
  5. Step 5: Solve for x
    x = 33,641,441,769.60/270,038.88
  6. Step 6: Final answer
    x = 124,579.99

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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.