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Finding the Fourth Proportional to 180,676.48, 270,870 and 85,859.08

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Solution

The fourth proportional to 180,676.48, 270,870 and 85,859.08 is: 128,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,676.48 : 270,870 = 85,859.08 : x
  2. Step 2: Convert to fraction form
    180,676.48/270,870 = 85,859.08/x
  3. Step 3: Cross multiply
    180,676.48x = 270,870 × 85,859.08
  4. Step 4: Simplify right side
    180,676.48x = 23,256,648,999.60
  5. Step 5: Solve for x
    x = 23,256,648,999.60/180,676.48
  6. Step 6: Final answer
    x = 128,719.85

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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.