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Finding the Fourth Proportional to 138,363.64, 207,389.94 and 68,292.16

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Solution

The fourth proportional to 138,363.64, 207,389.94 and 68,292.16 is: 102,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,363.64 : 207,389.94 = 68,292.16 : x
  2. Step 2: Convert to fraction form
    138,363.64/207,389.94 = 68,292.16/x
  3. Step 3: Cross multiply
    138,363.64x = 207,389.94 × 68,292.16
  4. Step 4: Simplify right side
    138,363.64x = 14,163,106,964.87
  5. Step 5: Solve for x
    x = 14,163,106,964.87/138,363.64
  6. Step 6: Final answer
    x = 102,361.48

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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.