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Finding the Fourth Proportional to 197,064.50, 271,949.04 and 107,640.50

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Solution

The fourth proportional to 197,064.50, 271,949.04 and 107,640.50 is: 148,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,064.50 : 271,949.04 = 107,640.50 : x
  2. Step 2: Convert to fraction form
    197,064.50/271,949.04 = 107,640.50/x
  3. Step 3: Cross multiply
    197,064.50x = 271,949.04 × 107,640.50
  4. Step 4: Simplify right side
    197,064.50x = 29,272,730,640.12
  5. Step 5: Solve for x
    x = 29,272,730,640.12/197,064.50
  6. Step 6: Final answer
    x = 148,543.91

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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.