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Finding the Fourth Proportional to 81,506.64, 122,278.32 and 28,916.04

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Solution

The fourth proportional to 81,506.64, 122,278.32 and 28,916.04 is: 43,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,506.64 : 122,278.32 = 28,916.04 : x
  2. Step 2: Convert to fraction form
    81,506.64/122,278.32 = 28,916.04/x
  3. Step 3: Cross multiply
    81,506.64x = 122,278.32 × 28,916.04
  4. Step 4: Simplify right side
    81,506.64x = 3,535,804,792.25
  5. Step 5: Solve for x
    x = 3,535,804,792.25/81,506.64
  6. Step 6: Final answer
    x = 43,380.57

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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.