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Finding the Fourth Proportional to 221,263, 305,365.98 and 136,377.88

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Solution

The fourth proportional to 221,263, 305,365.98 and 136,377.88 is: 188,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,263 : 305,365.98 = 136,377.88 : x
  2. Step 2: Convert to fraction form
    221,263/305,365.98 = 136,377.88/x
  3. Step 3: Cross multiply
    221,263x = 305,365.98 × 136,377.88
  4. Step 4: Simplify right side
    221,263x = 41,645,164,976.52
  5. Step 5: Solve for x
    x = 41,645,164,976.52/221,263
  6. Step 6: Final answer
    x = 188,215.68

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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.