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Finding the Fourth Proportional to 197,082, 271,973.16 and 107,658

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Solution

The fourth proportional to 197,082, 271,973.16 and 107,658 is: 148,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,082 : 271,973.16 = 107,658 : x
  2. Step 2: Convert to fraction form
    197,082/271,973.16 = 107,658/x
  3. Step 3: Cross multiply
    197,082x = 271,973.16 × 107,658
  4. Step 4: Simplify right side
    197,082x = 29,280,086,459.28
  5. Step 5: Solve for x
    x = 29,280,086,459.28/197,082
  6. Step 6: Final answer
    x = 148,568.04

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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.