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Finding the Fourth Proportional to 106,465.28, 159,725.28 and 39,906.32

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Solution

The fourth proportional to 106,465.28, 159,725.28 and 39,906.32 is: 59,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,465.28 : 159,725.28 = 39,906.32 : x
  2. Step 2: Convert to fraction form
    106,465.28/159,725.28 = 39,906.32/x
  3. Step 3: Cross multiply
    106,465.28x = 159,725.28 × 39,906.32
  4. Step 4: Simplify right side
    106,465.28x = 6,374,048,135.77
  5. Step 5: Solve for x
    x = 6,374,048,135.77/106,465.28
  6. Step 6: Final answer
    x = 59,869.74

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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.