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Finding the Fourth Proportional to 210,471.84, 290,353.68 and 120,996

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Solution

The fourth proportional to 210,471.84, 290,353.68 and 120,996 is: 166,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,471.84 : 290,353.68 = 120,996 : x
  2. Step 2: Convert to fraction form
    210,471.84/290,353.68 = 120,996/x
  3. Step 3: Cross multiply
    210,471.84x = 290,353.68 × 120,996
  4. Step 4: Simplify right side
    210,471.84x = 35,131,633,865.28
  5. Step 5: Solve for x
    x = 35,131,633,865.28/210,471.84
  6. Step 6: Final answer
    x = 166,918.45

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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.