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Finding the Fourth Proportional to 185,162.77, 255,524.38 and 100,280.17

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Solution

The fourth proportional to 185,162.77, 255,524.38 and 100,280.17 is: 138,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,162.77 : 255,524.38 = 100,280.17 : x
  2. Step 2: Convert to fraction form
    185,162.77/255,524.38 = 100,280.17/x
  3. Step 3: Cross multiply
    185,162.77x = 255,524.38 × 100,280.17
  4. Step 4: Simplify right side
    185,162.77x = 25,624,028,265.54
  5. Step 5: Solve for x
    x = 25,624,028,265.54/185,162.77
  6. Step 6: Final answer
    x = 138,386.50

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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.