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Finding the Fourth Proportional to 109,849,846.80, 164,774,770.20 and 84,419,216.40

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Solution

The fourth proportional to 109,849,846.80, 164,774,770.20 and 84,419,216.40 is: 126,628,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,849,846.80 : 164,774,770.20 = 84,419,216.40 : x
  2. Step 2: Convert to fraction form
    109,849,846.80/164,774,770.20 = 84,419,216.40/x
  3. Step 3: Cross multiply
    109,849,846.80x = 164,774,770.20 × 84,419,216.40
  4. Step 4: Simplify right side
    109,849,846.80x = 13,910,156,982,774,072
  5. Step 5: Solve for x
    x = 13,910,156,982,774,072/109,849,846.80
  6. Step 6: Final answer
    x = 126,628,824.60

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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.