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Finding the Fourth Proportional to 185,855.26, 256,485.27 and 100,978.06

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Solution

The fourth proportional to 185,855.26, 256,485.27 and 100,978.06 is: 139,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,855.26 : 256,485.27 = 100,978.06 : x
  2. Step 2: Convert to fraction form
    185,855.26/256,485.27 = 100,978.06/x
  3. Step 3: Cross multiply
    185,855.26x = 256,485.27 × 100,978.06
  4. Step 4: Simplify right side
    185,855.26x = 25,899,384,983.18
  5. Step 5: Solve for x
    x = 25,899,384,983.18/185,855.26
  6. Step 6: Final answer
    x = 139,352.45

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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.