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Finding the Fourth Proportional to 347,765.96, 521,676.78 and 111,142.28

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Solution

The fourth proportional to 347,765.96, 521,676.78 and 111,142.28 is: 166,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,765.96 : 521,676.78 = 111,142.28 : x
  2. Step 2: Convert to fraction form
    347,765.96/521,676.78 = 111,142.28/x
  3. Step 3: Cross multiply
    347,765.96x = 521,676.78 × 111,142.28
  4. Step 4: Simplify right side
    347,765.96x = 57,980,346,752.26
  5. Step 5: Solve for x
    x = 57,980,346,752.26/347,765.96
  6. Step 6: Final answer
    x = 166,722.32

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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.