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Finding the Fourth Proportional to 210,644.49, 290,695.73 and 115,156.29

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Solution

The fourth proportional to 210,644.49, 290,695.73 and 115,156.29 is: 158,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,644.49 : 290,695.73 = 115,156.29 : x
  2. Step 2: Convert to fraction form
    210,644.49/290,695.73 = 115,156.29/x
  3. Step 3: Cross multiply
    210,644.49x = 290,695.73 × 115,156.29
  4. Step 4: Simplify right side
    210,644.49x = 33,475,441,785.64
  5. Step 5: Solve for x
    x = 33,475,441,785.64/210,644.49
  6. Step 6: Final answer
    x = 158,919.14

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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.