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Finding the Fourth Proportional to 122,355.74, 168,923.31 and 77,072.54

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Solution

The fourth proportional to 122,355.74, 168,923.31 and 77,072.54 is: 106,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,355.74 : 168,923.31 = 77,072.54 : x
  2. Step 2: Convert to fraction form
    122,355.74/168,923.31 = 77,072.54/x
  3. Step 3: Cross multiply
    122,355.74x = 168,923.31 × 77,072.54
  4. Step 4: Simplify right side
    122,355.74x = 13,019,348,566.91
  5. Step 5: Solve for x
    x = 13,019,348,566.91/122,355.74
  6. Step 6: Final answer
    x = 106,405.70

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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.