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Finding the Fourth Proportional to 149,059.72, 205,722.29 and 84,552.31

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Solution

The fourth proportional to 149,059.72, 205,722.29 and 84,552.31 is: 116,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,059.72 : 205,722.29 = 84,552.31 : x
  2. Step 2: Convert to fraction form
    149,059.72/205,722.29 = 84,552.31/x
  3. Step 3: Cross multiply
    149,059.72x = 205,722.29 × 84,552.31
  4. Step 4: Simplify right side
    149,059.72x = 17,394,294,837.99
  5. Step 5: Solve for x
    x = 17,394,294,837.99/149,059.72
  6. Step 6: Final answer
    x = 116,693.46

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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.