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Finding the Fourth Proportional to 193,200, 266,525.28 and 136,642.56

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Solution

The fourth proportional to 193,200, 266,525.28 and 136,642.56 is: 188,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,200 : 266,525.28 = 136,642.56 : x
  2. Step 2: Convert to fraction form
    193,200/266,525.28 = 136,642.56/x
  3. Step 3: Cross multiply
    193,200x = 266,525.28 × 136,642.56
  4. Step 4: Simplify right side
    193,200x = 36,418,696,563.92
  5. Step 5: Solve for x
    x = 36,418,696,563.92/193,200
  6. Step 6: Final answer
    x = 188,502.57

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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.