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Finding the Fourth Proportional to 149,117.63, 205,782.32 and 82,049.63

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Solution

The fourth proportional to 149,117.63, 205,782.32 and 82,049.63 is: 113,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,117.63 : 205,782.32 = 82,049.63 : x
  2. Step 2: Convert to fraction form
    149,117.63/205,782.32 = 82,049.63/x
  3. Step 3: Cross multiply
    149,117.63x = 205,782.32 × 82,049.63
  4. Step 4: Simplify right side
    149,117.63x = 16,884,362,392.75
  5. Step 5: Solve for x
    x = 16,884,362,392.75/149,117.63
  6. Step 6: Final answer
    x = 113,228.48

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1.5x scale

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.