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Finding the Fourth Proportional to 180,502.88, 270,593.51 and 85,674.56

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Solution

The fourth proportional to 180,502.88, 270,593.51 and 85,674.56 is: 128,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,502.88 : 270,593.51 = 85,674.56 : x
  2. Step 2: Convert to fraction form
    180,502.88/270,593.51 = 85,674.56/x
  3. Step 3: Cross multiply
    180,502.88x = 270,593.51 × 85,674.56
  4. Step 4: Simplify right side
    180,502.88x = 23,182,978,126.77
  5. Step 5: Solve for x
    x = 23,182,978,126.77/180,502.88
  6. Step 6: Final answer
    x = 128,435.51

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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.