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Finding the Fourth Proportional to 217,005, 325,684.08 and 111,854.04

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Solution

The fourth proportional to 217,005, 325,684.08 and 111,854.04 is: 167,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,005 : 325,684.08 = 111,854.04 : x
  2. Step 2: Convert to fraction form
    217,005/325,684.08 = 111,854.04/x
  3. Step 3: Cross multiply
    217,005x = 325,684.08 × 111,854.04
  4. Step 4: Simplify right side
    217,005x = 36,429,080,111.68
  5. Step 5: Solve for x
    x = 36,429,080,111.68/217,005
  6. Step 6: Final answer
    x = 167,872.08

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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.