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Finding the Fourth Proportional to 120,782.88, 180,360.96 and 98,640.18

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Solution

The fourth proportional to 120,782.88, 180,360.96 and 98,640.18 is: 147,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,782.88 : 180,360.96 = 98,640.18 : x
  2. Step 2: Convert to fraction form
    120,782.88/180,360.96 = 98,640.18/x
  3. Step 3: Cross multiply
    120,782.88x = 180,360.96 × 98,640.18
  4. Step 4: Simplify right side
    120,782.88x = 17,790,837,559.37
  5. Step 5: Solve for x
    x = 17,790,837,559.37/120,782.88
  6. Step 6: Final answer
    x = 147,296.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.