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Finding the Fourth Proportional to 138,410.40, 207,615.60 and 68,426.40

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Solution

The fourth proportional to 138,410.40, 207,615.60 and 68,426.40 is: 102,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410.40 : 207,615.60 = 68,426.40 : x
  2. Step 2: Convert to fraction form
    138,410.40/207,615.60 = 68,426.40/x
  3. Step 3: Cross multiply
    138,410.40x = 207,615.60 × 68,426.40
  4. Step 4: Simplify right side
    138,410.40x = 14,206,388,091.84
  5. Step 5: Solve for x
    x = 14,206,388,091.84/138,410.40
  6. Step 6: Final answer
    x = 102,639.60

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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.