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Finding the Fourth Proportional to 185,673.80, 256,229.64 and 105,099.92

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Solution

The fourth proportional to 185,673.80, 256,229.64 and 105,099.92 is: 145,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,673.80 : 256,229.64 = 105,099.92 : x
  2. Step 2: Convert to fraction form
    185,673.80/256,229.64 = 105,099.92/x
  3. Step 3: Cross multiply
    185,673.80x = 256,229.64 × 105,099.92
  4. Step 4: Simplify right side
    185,673.80x = 26,929,714,665.63
  5. Step 5: Solve for x
    x = 26,929,714,665.63/185,673.80
  6. Step 6: Final answer
    x = 145,037.77

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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.