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Finding the Fourth Proportional to 149,033.88, 205,670.34 and 85,391.64

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Solution

The fourth proportional to 149,033.88, 205,670.34 and 85,391.64 is: 117,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,033.88 : 205,670.34 = 85,391.64 : x
  2. Step 2: Convert to fraction form
    149,033.88/205,670.34 = 85,391.64/x
  3. Step 3: Cross multiply
    149,033.88x = 205,670.34 × 85,391.64
  4. Step 4: Simplify right side
    149,033.88x = 17,562,527,631.96
  5. Step 5: Solve for x
    x = 17,562,527,631.96/149,033.88
  6. Step 6: Final answer
    x = 117,842.52

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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.