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Finding the Fourth Proportional to 271,531.96, 407,211.54 and 113,731

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Solution

The fourth proportional to 271,531.96, 407,211.54 and 113,731 is: 170,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,531.96 : 407,211.54 = 113,731 : x
  2. Step 2: Convert to fraction form
    271,531.96/407,211.54 = 113,731/x
  3. Step 3: Cross multiply
    271,531.96x = 407,211.54 × 113,731
  4. Step 4: Simplify right side
    271,531.96x = 46,312,575,655.74
  5. Step 5: Solve for x
    x = 46,312,575,655.74/271,531.96
  6. Step 6: Final answer
    x = 170,560.31

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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.