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Finding the Fourth Proportional to 100,175.86, 138,245.81 and 54,858.14

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Solution

The fourth proportional to 100,175.86, 138,245.81 and 54,858.14 is: 75,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,175.86 : 138,245.81 = 54,858.14 : x
  2. Step 2: Convert to fraction form
    100,175.86/138,245.81 = 54,858.14/x
  3. Step 3: Cross multiply
    100,175.86x = 138,245.81 × 54,858.14
  4. Step 4: Simplify right side
    100,175.86x = 7,583,908,482.15
  5. Step 5: Solve for x
    x = 7,583,908,482.15/100,175.86
  6. Step 6: Final answer
    x = 75,705.95

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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.