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Finding the Fourth Proportional to 213,978.56, 295,286.80 and 118,483.21

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Solution

The fourth proportional to 213,978.56, 295,286.80 and 118,483.21 is: 163,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,978.56 : 295,286.80 = 118,483.21 : x
  2. Step 2: Convert to fraction form
    213,978.56/295,286.80 = 118,483.21/x
  3. Step 3: Cross multiply
    213,978.56x = 295,286.80 × 118,483.21
  4. Step 4: Simplify right side
    213,978.56x = 34,986,527,934.63
  5. Step 5: Solve for x
    x = 34,986,527,934.63/213,978.56
  6. Step 6: Final answer
    x = 163,504.83

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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.