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Finding the Fourth Proportional to 149,533.60, 206,348.15 and 84,993.87

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Solution

The fourth proportional to 149,533.60, 206,348.15 and 84,993.87 is: 117,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,533.60 : 206,348.15 = 84,993.87 : x
  2. Step 2: Convert to fraction form
    149,533.60/206,348.15 = 84,993.87/x
  3. Step 3: Cross multiply
    149,533.60x = 206,348.15 × 84,993.87
  4. Step 4: Simplify right side
    149,533.60x = 17,538,326,637.07
  5. Step 5: Solve for x
    x = 17,538,326,637.07/149,533.60
  6. Step 6: Final answer
    x = 117,286.86

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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.