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Finding the Fourth Proportional to 136,566.53, 188,446.61 and 82,864.61

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Solution

The fourth proportional to 136,566.53, 188,446.61 and 82,864.61 is: 114,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,566.53 : 188,446.61 = 82,864.61 : x
  2. Step 2: Convert to fraction form
    136,566.53/188,446.61 = 82,864.61/x
  3. Step 3: Cross multiply
    136,566.53x = 188,446.61 × 82,864.61
  4. Step 4: Simplify right side
    136,566.53x = 15,615,554,429.15
  5. Step 5: Solve for x
    x = 15,615,554,429.15/136,566.53
  6. Step 6: Final answer
    x = 114,343.93

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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.