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Finding the Fourth Proportional to 213,714.72, 294,930.72 and 128,813.76

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Solution

The fourth proportional to 213,714.72, 294,930.72 and 128,813.76 is: 177,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,714.72 : 294,930.72 = 128,813.76 : x
  2. Step 2: Convert to fraction form
    213,714.72/294,930.72 = 128,813.76/x
  3. Step 3: Cross multiply
    213,714.72x = 294,930.72 × 128,813.76
  4. Step 4: Simplify right side
    213,714.72x = 37,991,134,982.71
  5. Step 5: Solve for x
    x = 37,991,134,982.71/213,714.72
  6. Step 6: Final answer
    x = 177,765.64

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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.