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Finding the Fourth Proportional to 185,672.81, 256,227.77 and 100,789.13

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Solution

The fourth proportional to 185,672.81, 256,227.77 and 100,789.13 is: 139,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,672.81 : 256,227.77 = 100,789.13 : x
  2. Step 2: Convert to fraction form
    185,672.81/256,227.77 = 100,789.13/x
  3. Step 3: Cross multiply
    185,672.81x = 256,227.77 × 100,789.13
  4. Step 4: Simplify right side
    185,672.81x = 25,824,973,516.19
  5. Step 5: Solve for x
    x = 25,824,973,516.19/185,672.81
  6. Step 6: Final answer
    x = 139,088.61

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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.