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Finding the Fourth Proportional to 213,564, 294,708.99 and 122,922.87

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Solution

The fourth proportional to 213,564, 294,708.99 and 122,922.87 is: 169,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,564 : 294,708.99 = 122,922.87 : x
  2. Step 2: Convert to fraction form
    213,564/294,708.99 = 122,922.87/x
  3. Step 3: Cross multiply
    213,564x = 294,708.99 × 122,922.87
  4. Step 4: Simplify right side
    213,564x = 36,226,474,865.60
  5. Step 5: Solve for x
    x = 36,226,474,865.60/213,564
  6. Step 6: Final answer
    x = 169,628.19

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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.