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Finding the Fourth Proportional to 120,273.89, 165,978.40 and 65,083.21

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Solution

The fourth proportional to 120,273.89, 165,978.40 and 65,083.21 is: 89,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273.89 : 165,978.40 = 65,083.21 : x
  2. Step 2: Convert to fraction form
    120,273.89/165,978.40 = 65,083.21/x
  3. Step 3: Cross multiply
    120,273.89x = 165,978.40 × 65,083.21
  4. Step 4: Simplify right side
    120,273.89x = 10,802,406,729.07
  5. Step 5: Solve for x
    x = 10,802,406,729.07/120,273.89
  6. Step 6: Final answer
    x = 89,815.06

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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.