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Finding the Fourth Proportional to 275,905.90, 413,854.74 and 76,221.86

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Solution

The fourth proportional to 275,905.90, 413,854.74 and 76,221.86 is: 114,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,905.90 : 413,854.74 = 76,221.86 : x
  2. Step 2: Convert to fraction form
    275,905.90/413,854.74 = 76,221.86/x
  3. Step 3: Cross multiply
    275,905.90x = 413,854.74 × 76,221.86
  4. Step 4: Simplify right side
    275,905.90x = 31,544,779,087.25
  5. Step 5: Solve for x
    x = 31,544,779,087.25/275,905.90
  6. Step 6: Final answer
    x = 114,331.66

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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.