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Finding the Fourth Proportional to 100,093.15, 138,127.35 and 54,770.64

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Solution

The fourth proportional to 100,093.15, 138,127.35 and 54,770.64 is: 75,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,093.15 : 138,127.35 = 54,770.64 : x
  2. Step 2: Convert to fraction form
    100,093.15/138,127.35 = 54,770.64/x
  3. Step 3: Cross multiply
    100,093.15x = 138,127.35 × 54,770.64
  4. Step 4: Simplify right side
    100,093.15x = 7,565,323,361.00
  5. Step 5: Solve for x
    x = 7,565,323,361.00/100,093.15
  6. Step 6: Final answer
    x = 75,582.83

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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.