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Finding the Fourth Proportional to 118,863.12, 164,029.64 and 64,414.12

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Solution

The fourth proportional to 118,863.12, 164,029.64 and 64,414.12 is: 88,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,863.12 : 164,029.64 = 64,414.12 : x
  2. Step 2: Convert to fraction form
    118,863.12/164,029.64 = 64,414.12/x
  3. Step 3: Cross multiply
    118,863.12x = 164,029.64 × 64,414.12
  4. Step 4: Simplify right side
    118,863.12x = 10,565,824,914.52
  5. Step 5: Solve for x
    x = 10,565,824,914.52/118,863.12
  6. Step 6: Final answer
    x = 88,890.69

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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.