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Finding the Fourth Proportional to 213,709.43, 294,919.61 and 118,216.12

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Solution

The fourth proportional to 213,709.43, 294,919.61 and 118,216.12 is: 163,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,709.43 : 294,919.61 = 118,216.12 : x
  2. Step 2: Convert to fraction form
    213,709.43/294,919.61 = 118,216.12/x
  3. Step 3: Cross multiply
    213,709.43x = 294,919.61 × 118,216.12
  4. Step 4: Simplify right side
    213,709.43x = 34,864,252,006.11
  5. Step 5: Solve for x
    x = 34,864,252,006.11/213,709.43
  6. Step 6: Final answer
    x = 163,138.58

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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.