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Finding the Fourth Proportional to 221,257, 305,357.70 and 136,371.88

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Solution

The fourth proportional to 221,257, 305,357.70 and 136,371.88 is: 188,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,257 : 305,357.70 = 136,371.88 : x
  2. Step 2: Convert to fraction form
    221,257/305,357.70 = 136,371.88/x
  3. Step 3: Cross multiply
    221,257x = 305,357.70 × 136,371.88
  4. Step 4: Simplify right side
    221,257x = 41,642,203,621.48
  5. Step 5: Solve for x
    x = 41,642,203,621.48/221,257
  6. Step 6: Final answer
    x = 188,207.40

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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.