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Finding the Fourth Proportional to 123,740.34, 170,765.46 and 72,743.76

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Solution

The fourth proportional to 123,740.34, 170,765.46 and 72,743.76 is: 100,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,740.34 : 170,765.46 = 72,743.76 : x
  2. Step 2: Convert to fraction form
    123,740.34/170,765.46 = 72,743.76/x
  3. Step 3: Cross multiply
    123,740.34x = 170,765.46 × 72,743.76
  4. Step 4: Simplify right side
    123,740.34x = 12,422,121,638.53
  5. Step 5: Solve for x
    x = 12,422,121,638.53/123,740.34
  6. Step 6: Final answer
    x = 100,388.62

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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.