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Finding the Fourth Proportional to 100,177, 138,248.58 and 55,465

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Solution

The fourth proportional to 100,177, 138,248.58 and 55,465 is: 76,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,177 : 138,248.58 = 55,465 : x
  2. Step 2: Convert to fraction form
    100,177/138,248.58 = 55,465/x
  3. Step 3: Cross multiply
    100,177x = 138,248.58 × 55,465
  4. Step 4: Simplify right side
    100,177x = 7,667,957,489.70
  5. Step 5: Solve for x
    x = 7,667,957,489.70/100,177
  6. Step 6: Final answer
    x = 76,544.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.