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Finding the Fourth Proportional to 210,756.42, 290,843.22 and 113,959.61

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Solution

The fourth proportional to 210,756.42, 290,843.22 and 113,959.61 is: 157,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,756.42 : 290,843.22 = 113,959.61 : x
  2. Step 2: Convert to fraction form
    210,756.42/290,843.22 = 113,959.61/x
  3. Step 3: Cross multiply
    210,756.42x = 290,843.22 × 113,959.61
  4. Step 4: Simplify right side
    210,756.42x = 33,144,379,986.14
  5. Step 5: Solve for x
    x = 33,144,379,986.14/210,756.42
  6. Step 6: Final answer
    x = 157,263.92

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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.