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Finding the Fourth Proportional to 275,356.06, 413,038.64 and 75,675.21

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Solution

The fourth proportional to 275,356.06, 413,038.64 and 75,675.21 is: 113,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,356.06 : 413,038.64 = 75,675.21 : x
  2. Step 2: Convert to fraction form
    275,356.06/413,038.64 = 75,675.21/x
  3. Step 3: Cross multiply
    275,356.06x = 413,038.64 × 75,675.21
  4. Step 4: Simplify right side
    275,356.06x = 31,256,786,783.75
  5. Step 5: Solve for x
    x = 31,256,786,783.75/275,356.06
  6. Step 6: Final answer
    x = 113,514.07

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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.