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Finding the Fourth Proportional to 185,714.56, 278,707.11 and 67,395.43

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Solution

The fourth proportional to 185,714.56, 278,707.11 and 67,395.43 is: 101,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,714.56 : 278,707.11 = 67,395.43 : x
  2. Step 2: Convert to fraction form
    185,714.56/278,707.11 = 67,395.43/x
  3. Step 3: Cross multiply
    185,714.56x = 278,707.11 × 67,395.43
  4. Step 4: Simplify right side
    185,714.56x = 18,783,585,522.51
  5. Step 5: Solve for x
    x = 18,783,585,522.51/185,714.56
  6. Step 6: Final answer
    x = 101,142.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.