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Finding the Fourth Proportional to 106,954.68, 147,664.40 and 68,729.64

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Solution

The fourth proportional to 106,954.68, 147,664.40 and 68,729.64 is: 94,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,954.68 : 147,664.40 = 68,729.64 : x
  2. Step 2: Convert to fraction form
    106,954.68/147,664.40 = 68,729.64/x
  3. Step 3: Cross multiply
    106,954.68x = 147,664.40 × 68,729.64
  4. Step 4: Simplify right side
    106,954.68x = 10,148,921,052.82
  5. Step 5: Solve for x
    x = 10,148,921,052.82/106,954.68
  6. Step 6: Final answer
    x = 94,889.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.