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Finding the Fourth Proportional to 210,181.59, 290,048.17 and 114,689.88

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Solution

The fourth proportional to 210,181.59, 290,048.17 and 114,689.88 is: 158,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,181.59 : 290,048.17 = 114,689.88 : x
  2. Step 2: Convert to fraction form
    210,181.59/290,048.17 = 114,689.88/x
  3. Step 3: Cross multiply
    210,181.59x = 290,048.17 × 114,689.88
  4. Step 4: Simplify right side
    210,181.59x = 33,265,589,811.52
  5. Step 5: Solve for x
    x = 33,265,589,811.52/210,181.59
  6. Step 6: Final answer
    x = 158,270.71

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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.