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Finding the Fourth Proportional to 138,033.84, 207,099.36 and 67,962.36

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Solution

The fourth proportional to 138,033.84, 207,099.36 and 67,962.36 is: 101,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,033.84 : 207,099.36 = 67,962.36 : x
  2. Step 2: Convert to fraction form
    138,033.84/207,099.36 = 67,962.36/x
  3. Step 3: Cross multiply
    138,033.84x = 207,099.36 × 67,962.36
  4. Step 4: Simplify right side
    138,033.84x = 14,074,961,260.09
  5. Step 5: Solve for x
    x = 14,074,961,260.09/138,033.84
  6. Step 6: Final answer
    x = 101,967.47

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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.