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Finding the Fourth Proportional to 43,463.41, 65,209.10 and 19,779.41

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Solution

The fourth proportional to 43,463.41, 65,209.10 and 19,779.41 is: 29,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,463.41 : 65,209.10 = 19,779.41 : x
  2. Step 2: Convert to fraction form
    43,463.41/65,209.10 = 19,779.41/x
  3. Step 3: Cross multiply
    43,463.41x = 65,209.10 × 19,779.41
  4. Step 4: Simplify right side
    43,463.41x = 1,289,797,588.76
  5. Step 5: Solve for x
    x = 1,289,797,588.76/43,463.41
  6. Step 6: Final answer
    x = 29,675.48

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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.