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Finding the Fourth Proportional to 149,356.88, 206,110.32 and 85,693.28

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Solution

The fourth proportional to 149,356.88, 206,110.32 and 85,693.28 is: 118,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,356.88 : 206,110.32 = 85,693.28 : x
  2. Step 2: Convert to fraction form
    149,356.88/206,110.32 = 85,693.28/x
  3. Step 3: Cross multiply
    149,356.88x = 206,110.32 × 85,693.28
  4. Step 4: Simplify right side
    149,356.88x = 17,662,269,362.65
  5. Step 5: Solve for x
    x = 17,662,269,362.65/149,356.88
  6. Step 6: Final answer
    x = 118,255.48

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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.