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Finding the Fourth Proportional to 138,106.76, 207,011.30 and 66,878.60

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Solution

The fourth proportional to 138,106.76, 207,011.30 and 66,878.60 is: 100,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,106.76 : 207,011.30 = 66,878.60 : x
  2. Step 2: Convert to fraction form
    138,106.76/207,011.30 = 66,878.60/x
  3. Step 3: Cross multiply
    138,106.76x = 207,011.30 × 66,878.60
  4. Step 4: Simplify right side
    138,106.76x = 13,844,624,558.73
  5. Step 5: Solve for x
    x = 13,844,624,558.73/138,106.76
  6. Step 6: Final answer
    x = 100,245.82

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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.