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Finding the Fourth Proportional to 196,569, 271,265.40 and 107,145

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Solution

The fourth proportional to 196,569, 271,265.40 and 107,145 is: 147,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,569 : 271,265.40 = 107,145 : x
  2. Step 2: Convert to fraction form
    196,569/271,265.40 = 107,145/x
  3. Step 3: Cross multiply
    196,569x = 271,265.40 × 107,145
  4. Step 4: Simplify right side
    196,569x = 29,064,731,283.00
  5. Step 5: Solve for x
    x = 29,064,731,283.00/196,569
  6. Step 6: Final answer
    x = 147,860.20

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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.