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Finding the Fourth Proportional to 142,131.78, 213,172.02 and 36,944.28

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Solution

The fourth proportional to 142,131.78, 213,172.02 and 36,944.28 is: 55,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,131.78 : 213,172.02 = 36,944.28 : x
  2. Step 2: Convert to fraction form
    142,131.78/213,172.02 = 36,944.28/x
  3. Step 3: Cross multiply
    142,131.78x = 213,172.02 × 36,944.28
  4. Step 4: Simplify right side
    142,131.78x = 7,875,486,795.05
  5. Step 5: Solve for x
    x = 7,875,486,795.05/142,131.78
  6. Step 6: Final answer
    x = 55,409.75

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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.