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Finding the Fourth Proportional to 149,169.14, 205,801.46 and 84,630.78

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Solution

The fourth proportional to 149,169.14, 205,801.46 and 84,630.78 is: 116,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,169.14 : 205,801.46 = 84,630.78 : x
  2. Step 2: Convert to fraction form
    149,169.14/205,801.46 = 84,630.78/x
  3. Step 3: Cross multiply
    149,169.14x = 205,801.46 × 84,630.78
  4. Step 4: Simplify right side
    149,169.14x = 17,417,138,084.94
  5. Step 5: Solve for x
    x = 17,417,138,084.94/149,169.14
  6. Step 6: Final answer
    x = 116,761.00

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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.