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Finding the Fourth Proportional to 47,779.56, 71,644.56 and 21,461.82

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Solution

The fourth proportional to 47,779.56, 71,644.56 and 21,461.82 is: 32,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,779.56 : 71,644.56 = 21,461.82 : x
  2. Step 2: Convert to fraction form
    47,779.56/71,644.56 = 21,461.82/x
  3. Step 3: Cross multiply
    47,779.56x = 71,644.56 × 21,461.82
  4. Step 4: Simplify right side
    47,779.56x = 1,537,622,650.70
  5. Step 5: Solve for x
    x = 1,537,622,650.70/47,779.56
  6. Step 6: Final answer
    x = 32,181.60

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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.