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Finding the Fourth Proportional to 71,779.85, 107,669.43 and 21,858.15

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Solution

The fourth proportional to 71,779.85, 107,669.43 and 21,858.15 is: 32,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,779.85 : 107,669.43 = 21,858.15 : x
  2. Step 2: Convert to fraction form
    71,779.85/107,669.43 = 21,858.15/x
  3. Step 3: Cross multiply
    71,779.85x = 107,669.43 × 21,858.15
  4. Step 4: Simplify right side
    71,779.85x = 2,353,454,893.64
  5. Step 5: Solve for x
    x = 2,353,454,893.64/71,779.85
  6. Step 6: Final answer
    x = 32,787.13

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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.