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Finding the Fourth Proportional to 213,765.54, 294,950.49 and 128,880.78

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Solution

The fourth proportional to 213,765.54, 294,950.49 and 128,880.78 is: 177,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,765.54 : 294,950.49 = 128,880.78 : x
  2. Step 2: Convert to fraction form
    213,765.54/294,950.49 = 128,880.78/x
  3. Step 3: Cross multiply
    213,765.54x = 294,950.49 × 128,880.78
  4. Step 4: Simplify right side
    213,765.54x = 38,013,449,212.58
  5. Step 5: Solve for x
    x = 38,013,449,212.58/213,765.54
  6. Step 6: Final answer
    x = 177,827.77

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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.