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Finding the Fourth Proportional to 122,299.80, 168,702.21 and 76,905.90

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Solution

The fourth proportional to 122,299.80, 168,702.21 and 76,905.90 is: 106,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,299.80 : 168,702.21 = 76,905.90 : x
  2. Step 2: Convert to fraction form
    122,299.80/168,702.21 = 76,905.90/x
  3. Step 3: Cross multiply
    122,299.80x = 168,702.21 × 76,905.90
  4. Step 4: Simplify right side
    122,299.80x = 12,974,195,292.04
  5. Step 5: Solve for x
    x = 12,974,195,292.04/122,299.80
  6. Step 6: Final answer
    x = 106,085.17

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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.