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Finding the Fourth Proportional to 185,349.96, 255,782.70 and 100,467

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Solution

The fourth proportional to 185,349.96, 255,782.70 and 100,467 is: 138,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,349.96 : 255,782.70 = 100,467 : x
  2. Step 2: Convert to fraction form
    185,349.96/255,782.70 = 100,467/x
  3. Step 3: Cross multiply
    185,349.96x = 255,782.70 × 100,467
  4. Step 4: Simplify right side
    185,349.96x = 25,697,720,520.90
  5. Step 5: Solve for x
    x = 25,697,720,520.90/185,349.96
  6. Step 6: Final answer
    x = 138,644.33

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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.