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Finding the Fourth Proportional to 180,561.07, 270,697.02 and 85,743.28

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Solution

The fourth proportional to 180,561.07, 270,697.02 and 85,743.28 is: 128,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,561.07 : 270,697.02 = 85,743.28 : x
  2. Step 2: Convert to fraction form
    180,561.07/270,697.02 = 85,743.28/x
  3. Step 3: Cross multiply
    180,561.07x = 270,697.02 × 85,743.28
  4. Step 4: Simplify right side
    180,561.07x = 23,210,450,381.03
  5. Step 5: Solve for x
    x = 23,210,450,381.03/180,561.07
  6. Step 6: Final answer
    x = 128,546.26

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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.