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Finding the Fourth Proportional to 81,494.64, 122,289.62 and 34,105.77

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Solution

The fourth proportional to 81,494.64, 122,289.62 and 34,105.77 is: 51,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,494.64 : 122,289.62 = 34,105.77 : x
  2. Step 2: Convert to fraction form
    81,494.64/122,289.62 = 34,105.77/x
  3. Step 3: Cross multiply
    81,494.64x = 122,289.62 × 34,105.77
  4. Step 4: Simplify right side
    81,494.64x = 4,170,781,482.58
  5. Step 5: Solve for x
    x = 4,170,781,482.58/81,494.64
  6. Step 6: Final answer
    x = 51,178.60

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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.