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Finding the Fourth Proportional to 100,309, 138,426.44 and 55,597

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Solution

The fourth proportional to 100,309, 138,426.44 and 55,597 is: 76,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,309 : 138,426.44 = 55,597 : x
  2. Step 2: Convert to fraction form
    100,309/138,426.44 = 55,597/x
  3. Step 3: Cross multiply
    100,309x = 138,426.44 × 55,597
  4. Step 4: Simplify right side
    100,309x = 7,696,094,784.68
  5. Step 5: Solve for x
    x = 7,696,094,784.68/100,309
  6. Step 6: Final answer
    x = 76,723.87

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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.