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Finding the Fourth Proportional to 165,785.88, 228,821.40 and 105,344.70

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Solution

The fourth proportional to 165,785.88, 228,821.40 and 105,344.70 is: 145,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,785.88 : 228,821.40 = 105,344.70 : x
  2. Step 2: Convert to fraction form
    165,785.88/228,821.40 = 105,344.70/x
  3. Step 3: Cross multiply
    165,785.88x = 228,821.40 × 105,344.70
  4. Step 4: Simplify right side
    165,785.88x = 24,105,121,736.58
  5. Step 5: Solve for x
    x = 24,105,121,736.58/165,785.88
  6. Step 6: Final answer
    x = 145,399.12

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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.