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Finding the Fourth Proportional to 196,415, 271,039.93 and 115,824.05

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Solution

The fourth proportional to 196,415, 271,039.93 and 115,824.05 is: 159,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,415 : 271,039.93 = 115,824.05 : x
  2. Step 2: Convert to fraction form
    196,415/271,039.93 = 115,824.05/x
  3. Step 3: Cross multiply
    196,415x = 271,039.93 × 115,824.05
  4. Step 4: Simplify right side
    196,415x = 31,392,942,404.32
  5. Step 5: Solve for x
    x = 31,392,942,404.32/196,415
  6. Step 6: Final answer
    x = 159,829.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.