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Finding the Fourth Proportional to 221,256, 305,356.32 and 136,370.88

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Solution

The fourth proportional to 221,256, 305,356.32 and 136,370.88 is: 188,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,256 : 305,356.32 = 136,370.88 : x
  2. Step 2: Convert to fraction form
    221,256/305,356.32 = 136,370.88/x
  3. Step 3: Cross multiply
    221,256x = 305,356.32 × 136,370.88
  4. Step 4: Simplify right side
    221,256x = 41,641,710,071.96
  5. Step 5: Solve for x
    x = 41,641,710,071.96/221,256
  6. Step 6: Final answer
    x = 188,206.02

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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.