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Finding the Fourth Proportional to 215,686.96, 323,229.96 and 110,283.28

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Solution

The fourth proportional to 215,686.96, 323,229.96 and 110,283.28 is: 165,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,686.96 : 323,229.96 = 110,283.28 : x
  2. Step 2: Convert to fraction form
    215,686.96/323,229.96 = 110,283.28/x
  3. Step 3: Cross multiply
    215,686.96x = 323,229.96 × 110,283.28
  4. Step 4: Simplify right side
    215,686.96x = 35,646,860,183.07
  5. Step 5: Solve for x
    x = 35,646,860,183.07/215,686.96
  6. Step 6: Final answer
    x = 165,271.28

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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.