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Finding the Fourth Proportional to 54,738, 82,137.74 and 29,779.79

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Solution

The fourth proportional to 54,738, 82,137.74 and 29,779.79 is: 44,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,738 : 82,137.74 = 29,779.79 : x
  2. Step 2: Convert to fraction form
    54,738/82,137.74 = 29,779.79/x
  3. Step 3: Cross multiply
    54,738x = 82,137.74 × 29,779.79
  4. Step 4: Simplify right side
    54,738x = 2,446,044,648.27
  5. Step 5: Solve for x
    x = 2,446,044,648.27/54,738
  6. Step 6: Final answer
    x = 44,686.41

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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.