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Finding the Fourth Proportional to 100,405.84, 138,561.96 and 55,086.16

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Solution

The fourth proportional to 100,405.84, 138,561.96 and 55,086.16 is: 76,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,405.84 : 138,561.96 = 55,086.16 : x
  2. Step 2: Convert to fraction form
    100,405.84/138,561.96 = 55,086.16/x
  3. Step 3: Cross multiply
    100,405.84x = 138,561.96 × 55,086.16
  4. Step 4: Simplify right side
    100,405.84x = 7,632,846,298.47
  5. Step 5: Solve for x
    x = 7,632,846,298.47/100,405.84
  6. Step 6: Final answer
    x = 76,019.94

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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.