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Finding the Fourth Proportional to 123,492.13, 185,218.80 and 39,241.20

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Solution

The fourth proportional to 123,492.13, 185,218.80 and 39,241.20 is: 58,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,492.13 : 185,218.80 = 39,241.20 : x
  2. Step 2: Convert to fraction form
    123,492.13/185,218.80 = 39,241.20/x
  3. Step 3: Cross multiply
    123,492.13x = 185,218.80 × 39,241.20
  4. Step 4: Simplify right side
    123,492.13x = 7,268,207,974.56
  5. Step 5: Solve for x
    x = 7,268,207,974.56/123,492.13
  6. Step 6: Final answer
    x = 58,855.64

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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.