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Finding the Fourth Proportional to 185,604.86, 256,133.21 and 100,721.93

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Solution

The fourth proportional to 185,604.86, 256,133.21 and 100,721.93 is: 138,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,604.86 : 256,133.21 = 100,721.93 : x
  2. Step 2: Convert to fraction form
    185,604.86/256,133.21 = 100,721.93/x
  3. Step 3: Cross multiply
    185,604.86x = 256,133.21 × 100,721.93
  4. Step 4: Simplify right side
    185,604.86x = 25,798,230,219.43
  5. Step 5: Solve for x
    x = 25,798,230,219.43/185,604.86
  6. Step 6: Final answer
    x = 138,995.44

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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.