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Finding the Fourth Proportional to 199,245.40, 299,213.70 and 105,933.40

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Solution

The fourth proportional to 199,245.40, 299,213.70 and 105,933.40 is: 159,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,245.40 : 299,213.70 = 105,933.40 : x
  2. Step 2: Convert to fraction form
    199,245.40/299,213.70 = 105,933.40/x
  3. Step 3: Cross multiply
    199,245.40x = 299,213.70 × 105,933.40
  4. Step 4: Simplify right side
    199,245.40x = 31,696,724,567.58
  5. Step 5: Solve for x
    x = 31,696,724,567.58/199,245.40
  6. Step 6: Final answer
    x = 159,083.85

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1.5x scale

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.