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Finding the Fourth Proportional to 161,911.71, 223,361.96 and 105,302.43

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Solution

The fourth proportional to 161,911.71, 223,361.96 and 105,302.43 is: 145,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,911.71 : 223,361.96 = 105,302.43 : x
  2. Step 2: Convert to fraction form
    161,911.71/223,361.96 = 105,302.43/x
  3. Step 3: Cross multiply
    161,911.71x = 223,361.96 × 105,302.43
  4. Step 4: Simplify right side
    161,911.71x = 23,520,556,631.05
  5. Step 5: Solve for x
    x = 23,520,556,631.05/161,911.71
  6. Step 6: Final answer
    x = 145,267.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.