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Finding the Fourth Proportional to 213,864.50, 295,198.71 and 123,281.02

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Solution

The fourth proportional to 213,864.50, 295,198.71 and 123,281.02 is: 170,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,864.50 : 295,198.71 = 123,281.02 : x
  2. Step 2: Convert to fraction form
    213,864.50/295,198.71 = 123,281.02/x
  3. Step 3: Cross multiply
    213,864.50x = 295,198.71 × 123,281.02
  4. Step 4: Simplify right side
    213,864.50x = 36,392,396,595.49
  5. Step 5: Solve for x
    x = 36,392,396,595.49/213,864.50
  6. Step 6: Final answer
    x = 170,165.68

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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.