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Finding the Fourth Proportional to 100,176, 138,247.20 and 55,464

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Solution

The fourth proportional to 100,176, 138,247.20 and 55,464 is: 76,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176 : 138,247.20 = 55,464 : x
  2. Step 2: Convert to fraction form
    100,176/138,247.20 = 55,464/x
  3. Step 3: Cross multiply
    100,176x = 138,247.20 × 55,464
  4. Step 4: Simplify right side
    100,176x = 7,667,742,700.80
  5. Step 5: Solve for x
    x = 7,667,742,700.80/100,176
  6. Step 6: Final answer
    x = 76,542.71

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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.