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Finding the Fourth Proportional to 185,607.26, 256,138.19 and 100,724.32

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Solution

The fourth proportional to 185,607.26, 256,138.19 and 100,724.32 is: 138,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,607.26 : 256,138.19 = 100,724.32 : x
  2. Step 2: Convert to fraction form
    185,607.26/256,138.19 = 100,724.32/x
  3. Step 3: Cross multiply
    185,607.26x = 256,138.19 × 100,724.32
  4. Step 4: Simplify right side
    185,607.26x = 25,799,345,013.78
  5. Step 5: Solve for x
    x = 25,799,345,013.78/185,607.26
  6. Step 6: Final answer
    x = 138,999.65

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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.