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Finding the Fourth Proportional to 210,822.87, 316,238.91 and 84,522.59

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Solution

The fourth proportional to 210,822.87, 316,238.91 and 84,522.59 is: 126,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,822.87 : 316,238.91 = 84,522.59 : x
  2. Step 2: Convert to fraction form
    210,822.87/316,238.91 = 84,522.59/x
  3. Step 3: Cross multiply
    210,822.87x = 316,238.91 × 84,522.59
  4. Step 4: Simplify right side
    210,822.87x = 26,729,332,522.57
  5. Step 5: Solve for x
    x = 26,729,332,522.57/210,822.87
  6. Step 6: Final answer
    x = 126,785.73

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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.