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Finding the Fourth Proportional to 136,821.54, 188,838.30 and 81,634.42

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Solution

The fourth proportional to 136,821.54, 188,838.30 and 81,634.42 is: 112,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,821.54 : 188,838.30 = 81,634.42 : x
  2. Step 2: Convert to fraction form
    136,821.54/188,838.30 = 81,634.42/x
  3. Step 3: Cross multiply
    136,821.54x = 188,838.30 × 81,634.42
  4. Step 4: Simplify right side
    136,821.54x = 15,415,705,094.29
  5. Step 5: Solve for x
    x = 15,415,705,094.29/136,821.54
  6. Step 6: Final answer
    x = 112,670.16

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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.