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Finding the Fourth Proportional to 213,638.85, 294,827.31 and 118,149.03

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Solution

The fourth proportional to 213,638.85, 294,827.31 and 118,149.03 is: 163,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,638.85 : 294,827.31 = 118,149.03 : x
  2. Step 2: Convert to fraction form
    213,638.85/294,827.31 = 118,149.03/x
  3. Step 3: Cross multiply
    213,638.85x = 294,827.31 × 118,149.03
  4. Step 4: Simplify right side
    213,638.85x = 34,833,560,694.01
  5. Step 5: Solve for x
    x = 34,833,560,694.01/213,638.85
  6. Step 6: Final answer
    x = 163,048.81

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1.5x scale

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.