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Finding the Fourth Proportional to 221,506.65, 305,676.45 and 126,013.14

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Solution

The fourth proportional to 221,506.65, 305,676.45 and 126,013.14 is: 173,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,506.65 : 305,676.45 = 126,013.14 : x
  2. Step 2: Convert to fraction form
    221,506.65/305,676.45 = 126,013.14/x
  3. Step 3: Cross multiply
    221,506.65x = 305,676.45 × 126,013.14
  4. Step 4: Simplify right side
    221,506.65x = 38,519,249,288.55
  5. Step 5: Solve for x
    x = 38,519,249,288.55/221,506.65
  6. Step 6: Final answer
    x = 173,896.58

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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.