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Finding the Fourth Proportional to 213,840, 294,759.20 and 168,446.16

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Solution

The fourth proportional to 213,840, 294,759.20 and 168,446.16 is: 232,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,840 : 294,759.20 = 168,446.16 : x
  2. Step 2: Convert to fraction form
    213,840/294,759.20 = 168,446.16/x
  3. Step 3: Cross multiply
    213,840x = 294,759.20 × 168,446.16
  4. Step 4: Simplify right side
    213,840x = 49,651,055,364.67
  5. Step 5: Solve for x
    x = 49,651,055,364.67/213,840
  6. Step 6: Final answer
    x = 232,187.88

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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.