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Finding the Fourth Proportional to 218,843.97, 302,253.78 and 147,099.42

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Solution

The fourth proportional to 218,843.97, 302,253.78 and 147,099.42 is: 203,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,843.97 : 302,253.78 = 147,099.42 : x
  2. Step 2: Convert to fraction form
    218,843.97/302,253.78 = 147,099.42/x
  3. Step 3: Cross multiply
    218,843.97x = 302,253.78 × 147,099.42
  4. Step 4: Simplify right side
    218,843.97x = 44,461,355,730.81
  5. Step 5: Solve for x
    x = 44,461,355,730.81/218,843.97
  6. Step 6: Final answer
    x = 203,164.64

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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.