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Finding the Fourth Proportional to 131,146.40, 197,108.40 and 114,039.20

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Solution

The fourth proportional to 131,146.40, 197,108.40 and 114,039.20 is: 171,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,146.40 : 197,108.40 = 114,039.20 : x
  2. Step 2: Convert to fraction form
    131,146.40/197,108.40 = 114,039.20/x
  3. Step 3: Cross multiply
    131,146.40x = 197,108.40 × 114,039.20
  4. Step 4: Simplify right side
    131,146.40x = 22,478,084,249.28
  5. Step 5: Solve for x
    x = 22,478,084,249.28/131,146.40
  6. Step 6: Final answer
    x = 171,396.88

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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.