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Finding the Fourth Proportional to 100,609.47, 138,779.33 and 59,745.83

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Solution

The fourth proportional to 100,609.47, 138,779.33 and 59,745.83 is: 82,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,609.47 : 138,779.33 = 59,745.83 : x
  2. Step 2: Convert to fraction form
    100,609.47/138,779.33 = 59,745.83/x
  3. Step 3: Cross multiply
    100,609.47x = 138,779.33 × 59,745.83
  4. Step 4: Simplify right side
    100,609.47x = 8,291,485,265.07
  5. Step 5: Solve for x
    x = 8,291,485,265.07/100,609.47
  6. Step 6: Final answer
    x = 82,412.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.