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Finding the Fourth Proportional to 103,411.68, 155,118 and 41,082

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Solution

The fourth proportional to 103,411.68, 155,118 and 41,082 is: 61,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411.68 : 155,118 = 41,082 : x
  2. Step 2: Convert to fraction form
    103,411.68/155,118 = 41,082/x
  3. Step 3: Cross multiply
    103,411.68x = 155,118 × 41,082
  4. Step 4: Simplify right side
    103,411.68x = 6,372,557,676
  5. Step 5: Solve for x
    x = 6,372,557,676/103,411.68
  6. Step 6: Final answer
    x = 61,623.19

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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.