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Finding the Fourth Proportional to 210,208, 290,093.16 and 114,720.80

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Solution

The fourth proportional to 210,208, 290,093.16 and 114,720.80 is: 158,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,208 : 290,093.16 = 114,720.80 : x
  2. Step 2: Convert to fraction form
    210,208/290,093.16 = 114,720.80/x
  3. Step 3: Cross multiply
    210,208x = 290,093.16 × 114,720.80
  4. Step 4: Simplify right side
    210,208x = 33,279,719,389.73
  5. Step 5: Solve for x
    x = 33,279,719,389.73/210,208
  6. Step 6: Final answer
    x = 158,318.04

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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.