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Finding the Fourth Proportional to 210,712.66, 290,727.43 and 120,066.68

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Solution

The fourth proportional to 210,712.66, 290,727.43 and 120,066.68 is: 165,660.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,712.66 : 290,727.43 = 120,066.68 : x
  2. Step 2: Convert to fraction form
    210,712.66/290,727.43 = 120,066.68/x
  3. Step 3: Cross multiply
    210,712.66x = 290,727.43 × 120,066.68
  4. Step 4: Simplify right side
    210,712.66x = 34,906,677,731.68
  5. Step 5: Solve for x
    x = 34,906,677,731.68/210,712.66
  6. Step 6: Final answer
    x = 165,660.09

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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.