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Finding the Fourth Proportional to 131,843.60, 197,678.04 and 72,707.60

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Solution

The fourth proportional to 131,843.60, 197,678.04 and 72,707.60 is: 109,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,843.60 : 197,678.04 = 72,707.60 : x
  2. Step 2: Convert to fraction form
    131,843.60/197,678.04 = 72,707.60/x
  3. Step 3: Cross multiply
    131,843.60x = 197,678.04 × 72,707.60
  4. Step 4: Simplify right side
    131,843.60x = 14,372,695,861.10
  5. Step 5: Solve for x
    x = 14,372,695,861.10/131,843.60
  6. Step 6: Final answer
    x = 109,013.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.