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Finding the Fourth Proportional to 100,683.86, 138,944.26 and 55,364.78

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Solution

The fourth proportional to 100,683.86, 138,944.26 and 55,364.78 is: 76,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683.86 : 138,944.26 = 55,364.78 : x
  2. Step 2: Convert to fraction form
    100,683.86/138,944.26 = 55,364.78/x
  3. Step 3: Cross multiply
    100,683.86x = 138,944.26 × 55,364.78
  4. Step 4: Simplify right side
    100,683.86x = 7,692,618,387.16
  5. Step 5: Solve for x
    x = 7,692,618,387.16/100,683.86
  6. Step 6: Final answer
    x = 76,403.69

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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.