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Finding the Fourth Proportional to 100,045.44, 138,063.42 and 54,724.32

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Solution

The fourth proportional to 100,045.44, 138,063.42 and 54,724.32 is: 75,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,045.44 : 138,063.42 = 54,724.32 : x
  2. Step 2: Convert to fraction form
    100,045.44/138,063.42 = 54,724.32/x
  3. Step 3: Cross multiply
    100,045.44x = 138,063.42 × 54,724.32
  4. Step 4: Simplify right side
    100,045.44x = 7,555,426,776.37
  5. Step 5: Solve for x
    x = 7,555,426,776.37/100,045.44
  6. Step 6: Final answer
    x = 75,519.95

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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.