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Finding the Fourth Proportional to 131,409.20, 197,142.60 and 42,647.60

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Solution

The fourth proportional to 131,409.20, 197,142.60 and 42,647.60 is: 63,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,409.20 : 197,142.60 = 42,647.60 : x
  2. Step 2: Convert to fraction form
    131,409.20/197,142.60 = 42,647.60/x
  3. Step 3: Cross multiply
    131,409.20x = 197,142.60 × 42,647.60
  4. Step 4: Simplify right side
    131,409.20x = 8,407,658,747.76
  5. Step 5: Solve for x
    x = 8,407,658,747.76/131,409.20
  6. Step 6: Final answer
    x = 63,980.75

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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.