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Finding the Fourth Proportional to 210,716.86, 316,022.67 and 82,659.17

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Solution

The fourth proportional to 210,716.86, 316,022.67 and 82,659.17 is: 123,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,716.86 : 316,022.67 = 82,659.17 : x
  2. Step 2: Convert to fraction form
    210,716.86/316,022.67 = 82,659.17/x
  3. Step 3: Cross multiply
    210,716.86x = 316,022.67 × 82,659.17
  4. Step 4: Simplify right side
    210,716.86x = 26,122,171,603.38
  5. Step 5: Solve for x
    x = 26,122,171,603.38/210,716.86
  6. Step 6: Final answer
    x = 123,968.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.