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Finding the Fourth Proportional to 120,745.90, 181,149.42 and 85,276.50

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Solution

The fourth proportional to 120,745.90, 181,149.42 and 85,276.50 is: 127,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,745.90 : 181,149.42 = 85,276.50 : x
  2. Step 2: Convert to fraction form
    120,745.90/181,149.42 = 85,276.50/x
  3. Step 3: Cross multiply
    120,745.90x = 181,149.42 × 85,276.50
  4. Step 4: Simplify right side
    120,745.90x = 15,447,788,514.63
  5. Step 5: Solve for x
    x = 15,447,788,514.63/120,745.90
  6. Step 6: Final answer
    x = 127,936.34

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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.