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Finding the Fourth Proportional to 81,683.64, 122,529.51 and 22,518

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Solution

The fourth proportional to 81,683.64, 122,529.51 and 22,518 is: 33,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,683.64 : 122,529.51 = 22,518 : x
  2. Step 2: Convert to fraction form
    81,683.64/122,529.51 = 22,518/x
  3. Step 3: Cross multiply
    81,683.64x = 122,529.51 × 22,518
  4. Step 4: Simplify right side
    81,683.64x = 2,759,119,506.18
  5. Step 5: Solve for x
    x = 2,759,119,506.18/81,683.64
  6. Step 6: Final answer
    x = 33,778.12

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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.