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Finding the Fourth Proportional to 100,176, 138,242.88 and 55,466.88

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Solution

The fourth proportional to 100,176, 138,242.88 and 55,466.88 is: 76,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176 : 138,242.88 = 55,466.88 : x
  2. Step 2: Convert to fraction form
    100,176/138,242.88 = 55,466.88/x
  3. Step 3: Cross multiply
    100,176x = 138,242.88 × 55,466.88
  4. Step 4: Simplify right side
    100,176x = 7,667,901,235.81
  5. Step 5: Solve for x
    x = 7,667,901,235.81/100,176
  6. Step 6: Final answer
    x = 76,544.29

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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.