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Finding the Fourth Proportional to 221,456.50, 305,626.40 and 125,993.95

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Solution

The fourth proportional to 221,456.50, 305,626.40 and 125,993.95 is: 173,881.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,456.50 : 305,626.40 = 125,993.95 : x
  2. Step 2: Convert to fraction form
    221,456.50/305,626.40 = 125,993.95/x
  3. Step 3: Cross multiply
    221,456.50x = 305,626.40 × 125,993.95
  4. Step 4: Simplify right side
    221,456.50x = 38,507,077,360.28
  5. Step 5: Solve for x
    x = 38,507,077,360.28/221,456.50
  6. Step 6: Final answer
    x = 173,881.00

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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.