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Finding the Fourth Proportional to 210,808.16, 290,911.44 and 115,314.02

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Solution

The fourth proportional to 210,808.16, 290,911.44 and 115,314.02 is: 159,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,808.16 : 290,911.44 = 115,314.02 : x
  2. Step 2: Convert to fraction form
    210,808.16/290,911.44 = 115,314.02/x
  3. Step 3: Cross multiply
    210,808.16x = 290,911.44 × 115,314.02
  4. Step 4: Simplify right side
    210,808.16x = 33,546,167,610.39
  5. Step 5: Solve for x
    x = 33,546,167,610.39/210,808.16
  6. Step 6: Final answer
    x = 159,131.26

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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.