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Finding the Fourth Proportional to 210,855.96, 290,978.64 and 115,361.28

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Solution

The fourth proportional to 210,855.96, 290,978.64 and 115,361.28 is: 159,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,855.96 : 290,978.64 = 115,361.28 : x
  2. Step 2: Convert to fraction form
    210,855.96/290,978.64 = 115,361.28/x
  3. Step 3: Cross multiply
    210,855.96x = 290,978.64 × 115,361.28
  4. Step 4: Simplify right side
    210,855.96x = 33,567,668,363.06
  5. Step 5: Solve for x
    x = 33,567,668,363.06/210,855.96
  6. Step 6: Final answer
    x = 159,197.15

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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.