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Finding the Fourth Proportional to 138,936.40, 208,404.60 and 45,419.60

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Solution

The fourth proportional to 138,936.40, 208,404.60 and 45,419.60 is: 68,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,936.40 : 208,404.60 = 45,419.60 : x
  2. Step 2: Convert to fraction form
    138,936.40/208,404.60 = 45,419.60/x
  3. Step 3: Cross multiply
    138,936.40x = 208,404.60 × 45,419.60
  4. Step 4: Simplify right side
    138,936.40x = 9,465,653,570.16
  5. Step 5: Solve for x
    x = 9,465,653,570.16/138,936.40
  6. Step 6: Final answer
    x = 68,129.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.