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Finding the Fourth Proportional to 123,768.60, 185,725.80 and 81,770.10

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Solution

The fourth proportional to 123,768.60, 185,725.80 and 81,770.10 is: 122,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,768.60 : 185,725.80 = 81,770.10 : x
  2. Step 2: Convert to fraction form
    123,768.60/185,725.80 = 81,770.10/x
  3. Step 3: Cross multiply
    123,768.60x = 185,725.80 × 81,770.10
  4. Step 4: Simplify right side
    123,768.60x = 15,186,817,238.58
  5. Step 5: Solve for x
    x = 15,186,817,238.58/123,768.60
  6. Step 6: Final answer
    x = 122,703.31

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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.