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Finding the Fourth Proportional to 100,416.25, 138,569.83 and 55,093.30

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Solution

The fourth proportional to 100,416.25, 138,569.83 and 55,093.30 is: 76,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,416.25 : 138,569.83 = 55,093.30 : x
  2. Step 2: Convert to fraction form
    100,416.25/138,569.83 = 55,093.30/x
  3. Step 3: Cross multiply
    100,416.25x = 138,569.83 × 55,093.30
  4. Step 4: Simplify right side
    100,416.25x = 7,634,269,215.14
  5. Step 5: Solve for x
    x = 7,634,269,215.14/100,416.25
  6. Step 6: Final answer
    x = 76,026.23

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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.