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Finding the Fourth Proportional to 122,215.80, 183,323.70 and 105,813.30

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Solution

The fourth proportional to 122,215.80, 183,323.70 and 105,813.30 is: 158,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,215.80 : 183,323.70 = 105,813.30 : x
  2. Step 2: Convert to fraction form
    122,215.80/183,323.70 = 105,813.30/x
  3. Step 3: Cross multiply
    122,215.80x = 183,323.70 × 105,813.30
  4. Step 4: Simplify right side
    122,215.80x = 19,398,085,665.21
  5. Step 5: Solve for x
    x = 19,398,085,665.21/122,215.80
  6. Step 6: Final answer
    x = 158,719.95

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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.