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Finding the Fourth Proportional to 271,905.95, 407,900.37 and 138,713.56

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Solution

The fourth proportional to 271,905.95, 407,900.37 and 138,713.56 is: 208,091.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,905.95 : 407,900.37 = 138,713.56 : x
  2. Step 2: Convert to fraction form
    271,905.95/407,900.37 = 138,713.56/x
  3. Step 3: Cross multiply
    271,905.95x = 407,900.37 × 138,713.56
  4. Step 4: Simplify right side
    271,905.95x = 56,581,312,448.02
  5. Step 5: Solve for x
    x = 56,581,312,448.02/271,905.95
  6. Step 6: Final answer
    x = 208,091.48

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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.