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Finding the Fourth Proportional to 122,295.42, 168,696 and 76,901.40

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Solution

The fourth proportional to 122,295.42, 168,696 and 76,901.40 is: 106,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,295.42 : 168,696 = 76,901.40 : x
  2. Step 2: Convert to fraction form
    122,295.42/168,696 = 76,901.40/x
  3. Step 3: Cross multiply
    122,295.42x = 168,696 × 76,901.40
  4. Step 4: Simplify right side
    122,295.42x = 12,972,958,574.40
  5. Step 5: Solve for x
    x = 12,972,958,574.40/122,295.42
  6. Step 6: Final answer
    x = 106,078.86

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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.