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Finding the Fourth Proportional to 185,855.18, 256,479.46 and 100,971.50

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Solution

The fourth proportional to 185,855.18, 256,479.46 and 100,971.50 is: 139,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,855.18 : 256,479.46 = 100,971.50 : x
  2. Step 2: Convert to fraction form
    185,855.18/256,479.46 = 100,971.50/x
  3. Step 3: Cross multiply
    185,855.18x = 256,479.46 × 100,971.50
  4. Step 4: Simplify right side
    185,855.18x = 25,897,115,795.39
  5. Step 5: Solve for x
    x = 25,897,115,795.39/185,855.18
  6. Step 6: Final answer
    x = 139,340.30

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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.