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Finding the Fourth Proportional to 120,239.58, 165,926.58 and 65,791.50

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Solution

The fourth proportional to 120,239.58, 165,926.58 and 65,791.50 is: 90,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,239.58 : 165,926.58 = 65,791.50 : x
  2. Step 2: Convert to fraction form
    120,239.58/165,926.58 = 65,791.50/x
  3. Step 3: Cross multiply
    120,239.58x = 165,926.58 × 65,791.50
  4. Step 4: Simplify right side
    120,239.58x = 10,916,558,588.07
  5. Step 5: Solve for x
    x = 10,916,558,588.07/120,239.58
  6. Step 6: Final answer
    x = 90,790.06

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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.