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Finding the Fourth Proportional to 185,649.40, 256,189.30 and 100,764.64

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Solution

The fourth proportional to 185,649.40, 256,189.30 and 100,764.64 is: 139,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,649.40 : 256,189.30 = 100,764.64 : x
  2. Step 2: Convert to fraction form
    185,649.40/256,189.30 = 100,764.64/x
  3. Step 3: Cross multiply
    185,649.40x = 256,189.30 × 100,764.64
  4. Step 4: Simplify right side
    185,649.40x = 25,814,822,586.35
  5. Step 5: Solve for x
    x = 25,814,822,586.35/185,649.40
  6. Step 6: Final answer
    x = 139,051.47

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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.