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Finding the Fourth Proportional to 218,884.10, 302,059.41 and 118,282.10

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Solution

The fourth proportional to 218,884.10, 302,059.41 and 118,282.10 is: 163,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,884.10 : 302,059.41 = 118,282.10 : x
  2. Step 2: Convert to fraction form
    218,884.10/302,059.41 = 118,282.10/x
  3. Step 3: Cross multiply
    218,884.10x = 302,059.41 × 118,282.10
  4. Step 4: Simplify right side
    218,884.10x = 35,728,221,339.56
  5. Step 5: Solve for x
    x = 35,728,221,339.56/218,884.10
  6. Step 6: Final answer
    x = 163,228.95

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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.