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Finding the Fourth Proportional to 213,207.26, 294,215.49 and 122,499

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Solution

The fourth proportional to 213,207.26, 294,215.49 and 122,499 is: 169,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,207.26 : 294,215.49 = 122,499 : x
  2. Step 2: Convert to fraction form
    213,207.26/294,215.49 = 122,499/x
  3. Step 3: Cross multiply
    213,207.26x = 294,215.49 × 122,499
  4. Step 4: Simplify right side
    213,207.26x = 36,041,103,309.51
  5. Step 5: Solve for x
    x = 36,041,103,309.51/213,207.26
  6. Step 6: Final answer
    x = 169,042.57

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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.