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Finding the Fourth Proportional to 108,864, 163,296.12 and 43,200

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Solution

The fourth proportional to 108,864, 163,296.12 and 43,200 is: 64,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,864 : 163,296.12 = 43,200 : x
  2. Step 2: Convert to fraction form
    108,864/163,296.12 = 43,200/x
  3. Step 3: Cross multiply
    108,864x = 163,296.12 × 43,200
  4. Step 4: Simplify right side
    108,864x = 7,054,392,384
  5. Step 5: Solve for x
    x = 7,054,392,384/108,864
  6. Step 6: Final answer
    x = 64,800.05

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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.