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Finding the Fourth Proportional to 160,842.96, 221,817.96 and 100,419.12

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Solution

The fourth proportional to 160,842.96, 221,817.96 and 100,419.12 is: 138,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,842.96 : 221,817.96 = 100,419.12 : x
  2. Step 2: Convert to fraction form
    160,842.96/221,817.96 = 100,419.12/x
  3. Step 3: Cross multiply
    160,842.96x = 221,817.96 × 100,419.12
  4. Step 4: Simplify right side
    160,842.96x = 22,274,764,343.40
  5. Step 5: Solve for x
    x = 22,274,764,343.40/160,842.96
  6. Step 6: Final answer
    x = 138,487.65

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1.5x scale

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.