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Finding the Fourth Proportional to 271,916.97, 407,885.69 and 103,405.88

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Solution

The fourth proportional to 271,916.97, 407,885.69 and 103,405.88 is: 155,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,916.97 : 407,885.69 = 103,405.88 : x
  2. Step 2: Convert to fraction form
    271,916.97/407,885.69 = 103,405.88/x
  3. Step 3: Cross multiply
    271,916.97x = 407,885.69 × 103,405.88
  4. Step 4: Simplify right side
    271,916.97x = 42,177,779,992.09
  5. Step 5: Solve for x
    x = 42,177,779,992.09/271,916.97
  6. Step 6: Final answer
    x = 155,112.72

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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.