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Finding the Fourth Proportional to 275,442.42, 413,165.45 and 75,783.90

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Solution

The fourth proportional to 275,442.42, 413,165.45 and 75,783.90 is: 113,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,442.42 : 413,165.45 = 75,783.90 : x
  2. Step 2: Convert to fraction form
    275,442.42/413,165.45 = 75,783.90/x
  3. Step 3: Cross multiply
    275,442.42x = 413,165.45 × 75,783.90
  4. Step 4: Simplify right side
    275,442.42x = 31,311,289,146.26
  5. Step 5: Solve for x
    x = 31,311,289,146.26/275,442.42
  6. Step 6: Final answer
    x = 113,676.35

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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.