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Finding the Fourth Proportional to 196,480, 271,142.40 and 107,056

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Solution

The fourth proportional to 196,480, 271,142.40 and 107,056 is: 147,737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,480 : 271,142.40 = 107,056 : x
  2. Step 2: Convert to fraction form
    196,480/271,142.40 = 107,056/x
  3. Step 3: Cross multiply
    196,480x = 271,142.40 × 107,056
  4. Step 4: Simplify right side
    196,480x = 29,027,420,774.40
  5. Step 5: Solve for x
    x = 29,027,420,774.40/196,480
  6. Step 6: Final answer
    x = 147,737.28

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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.