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Finding the Fourth Proportional to 249,199.80, 343,896.22 and 136,022.56

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Solution

The fourth proportional to 249,199.80, 343,896.22 and 136,022.56 is: 187,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,199.80 : 343,896.22 = 136,022.56 : x
  2. Step 2: Convert to fraction form
    249,199.80/343,896.22 = 136,022.56/x
  3. Step 3: Cross multiply
    249,199.80x = 343,896.22 × 136,022.56
  4. Step 4: Simplify right side
    249,199.80x = 46,777,644,218.72
  5. Step 5: Solve for x
    x = 46,777,644,218.72/249,199.80
  6. Step 6: Final answer
    x = 187,711.40

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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.