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Finding the Fourth Proportional to 143,436, 197,941.68 and 83,820

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Solution

The fourth proportional to 143,436, 197,941.68 and 83,820 is: 115,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,436 : 197,941.68 = 83,820 : x
  2. Step 2: Convert to fraction form
    143,436/197,941.68 = 83,820/x
  3. Step 3: Cross multiply
    143,436x = 197,941.68 × 83,820
  4. Step 4: Simplify right side
    143,436x = 16,591,471,617.60
  5. Step 5: Solve for x
    x = 16,591,471,617.60/143,436
  6. Step 6: Final answer
    x = 115,671.60

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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.