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Finding the Fourth Proportional to 112,719.64, 169,004.43 and 67,639.49

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Solution

The fourth proportional to 112,719.64, 169,004.43 and 67,639.49 is: 101,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,719.64 : 169,004.43 = 67,639.49 : x
  2. Step 2: Convert to fraction form
    112,719.64/169,004.43 = 67,639.49/x
  3. Step 3: Cross multiply
    112,719.64x = 169,004.43 × 67,639.49
  4. Step 4: Simplify right side
    112,719.64x = 11,431,373,875.45
  5. Step 5: Solve for x
    x = 11,431,373,875.45/112,719.64
  6. Step 6: Final answer
    x = 101,414.22

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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.