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Finding the Fourth Proportional to 185,137.65, 255,490.74 and 100,254.78

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Solution

The fourth proportional to 185,137.65, 255,490.74 and 100,254.78 is: 138,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,137.65 : 255,490.74 = 100,254.78 : x
  2. Step 2: Convert to fraction form
    185,137.65/255,490.74 = 100,254.78/x
  3. Step 3: Cross multiply
    185,137.65x = 255,490.74 × 100,254.78
  4. Step 4: Simplify right side
    185,137.65x = 25,614,167,930.74
  5. Step 5: Solve for x
    x = 25,614,167,930.74/185,137.65
  6. Step 6: Final answer
    x = 138,352.02

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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.