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Finding the Fourth Proportional to 210,846.96, 290,972.09 and 115,355.25

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Solution

The fourth proportional to 210,846.96, 290,972.09 and 115,355.25 is: 159,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,846.96 : 290,972.09 = 115,355.25 : x
  2. Step 2: Convert to fraction form
    210,846.96/290,972.09 = 115,355.25/x
  3. Step 3: Cross multiply
    210,846.96x = 290,972.09 × 115,355.25
  4. Step 4: Simplify right side
    210,846.96x = 33,565,158,912.40
  5. Step 5: Solve for x
    x = 33,565,158,912.40/210,846.96
  6. Step 6: Final answer
    x = 159,192.04

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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.