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Finding the Fourth Proportional to 185,705.88, 256,277.16 and 100,823

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Solution

The fourth proportional to 185,705.88, 256,277.16 and 100,823 is: 139,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,705.88 : 256,277.16 = 100,823 : x
  2. Step 2: Convert to fraction form
    185,705.88/256,277.16 = 100,823/x
  3. Step 3: Cross multiply
    185,705.88x = 256,277.16 × 100,823
  4. Step 4: Simplify right side
    185,705.88x = 25,838,632,102.68
  5. Step 5: Solve for x
    x = 25,838,632,102.68/185,705.88
  6. Step 6: Final answer
    x = 139,137.39

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1.5x scale

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.