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Finding the Fourth Proportional to 205,542.72, 308,334.60 and 55,785.42

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Solution

The fourth proportional to 205,542.72, 308,334.60 and 55,785.42 is: 83,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,542.72 : 308,334.60 = 55,785.42 : x
  2. Step 2: Convert to fraction form
    205,542.72/308,334.60 = 55,785.42/x
  3. Step 3: Cross multiply
    205,542.72x = 308,334.60 × 55,785.42
  4. Step 4: Simplify right side
    205,542.72x = 17,200,575,161.53
  5. Step 5: Solve for x
    x = 17,200,575,161.53/205,542.72
  6. Step 6: Final answer
    x = 83,683.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.