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Finding the Fourth Proportional to 213,165, 319,724.82 and 113,219.10

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Solution

The fourth proportional to 213,165, 319,724.82 and 113,219.10 is: 169,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,165 : 319,724.82 = 113,219.10 : x
  2. Step 2: Convert to fraction form
    213,165/319,724.82 = 113,219.10/x
  3. Step 3: Cross multiply
    213,165x = 319,724.82 × 113,219.10
  4. Step 4: Simplify right side
    213,165x = 36,198,956,368.06
  5. Step 5: Solve for x
    x = 36,198,956,368.06/213,165
  6. Step 6: Final answer
    x = 169,816.60

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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.