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Finding the Fourth Proportional to 149,565, 206,399.70 and 82,497

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Solution

The fourth proportional to 149,565, 206,399.70 and 82,497 is: 113,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,565 : 206,399.70 = 82,497 : x
  2. Step 2: Convert to fraction form
    149,565/206,399.70 = 82,497/x
  3. Step 3: Cross multiply
    149,565x = 206,399.70 × 82,497
  4. Step 4: Simplify right side
    149,565x = 17,027,356,050.90
  5. Step 5: Solve for x
    x = 17,027,356,050.90/149,565
  6. Step 6: Final answer
    x = 113,845.86

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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.