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Finding the Fourth Proportional to 120,543.22, 180,814.11 and 65,489.14

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Solution

The fourth proportional to 120,543.22, 180,814.11 and 65,489.14 is: 98,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,543.22 : 180,814.11 = 65,489.14 : x
  2. Step 2: Convert to fraction form
    120,543.22/180,814.11 = 65,489.14/x
  3. Step 3: Cross multiply
    120,543.22x = 180,814.11 × 65,489.14
  4. Step 4: Simplify right side
    120,543.22x = 11,841,360,563.77
  5. Step 5: Solve for x
    x = 11,841,360,563.77/120,543.22
  6. Step 6: Final answer
    x = 98,233.32

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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.