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Finding the Fourth Proportional to 210,715.86, 316,021.17 and 82,658.17

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Solution

The fourth proportional to 210,715.86, 316,021.17 and 82,658.17 is: 123,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,715.86 : 316,021.17 = 82,658.17 : x
  2. Step 2: Convert to fraction form
    210,715.86/316,021.17 = 82,658.17/x
  3. Step 3: Cross multiply
    210,715.86x = 316,021.17 × 82,658.17
  4. Step 4: Simplify right side
    210,715.86x = 26,121,731,593.46
  5. Step 5: Solve for x
    x = 26,121,731,593.46/210,715.86
  6. Step 6: Final answer
    x = 123,966.61

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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.