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Finding the Fourth Proportional to 149,141.88, 205,769.46 and 84,600.48

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Solution

The fourth proportional to 149,141.88, 205,769.46 and 84,600.48 is: 116,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,141.88 : 205,769.46 = 84,600.48 : x
  2. Step 2: Convert to fraction form
    149,141.88/205,769.46 = 84,600.48/x
  3. Step 3: Cross multiply
    149,141.88x = 205,769.46 × 84,600.48
  4. Step 4: Simplify right side
    149,141.88x = 17,408,195,085.34
  5. Step 5: Solve for x
    x = 17,408,195,085.34/149,141.88
  6. Step 6: Final answer
    x = 116,722.38

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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.