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Finding the Fourth Proportional to 109,921, 164,770.72 and 43,335.36

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Solution

The fourth proportional to 109,921, 164,770.72 and 43,335.36 is: 64,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,921 : 164,770.72 = 43,335.36 : x
  2. Step 2: Convert to fraction form
    109,921/164,770.72 = 43,335.36/x
  3. Step 3: Cross multiply
    109,921x = 164,770.72 × 43,335.36
  4. Step 4: Simplify right side
    109,921x = 7,140,398,468.66
  5. Step 5: Solve for x
    x = 7,140,398,468.66/109,921
  6. Step 6: Final answer
    x = 64,959.37

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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.