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Finding the Fourth Proportional to 43,109.70, 64,640.16 and 16,784.16

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Solution

The fourth proportional to 43,109.70, 64,640.16 and 16,784.16 is: 25,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,109.70 : 64,640.16 = 16,784.16 : x
  2. Step 2: Convert to fraction form
    43,109.70/64,640.16 = 16,784.16/x
  3. Step 3: Cross multiply
    43,109.70x = 64,640.16 × 16,784.16
  4. Step 4: Simplify right side
    43,109.70x = 1,084,930,787.87
  5. Step 5: Solve for x
    x = 1,084,930,787.87/43,109.70
  6. Step 6: Final answer
    x = 25,166.74

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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.