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Finding the Fourth Proportional to 142,372, 196,477.46 and 78,713.90

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Solution

The fourth proportional to 142,372, 196,477.46 and 78,713.90 is: 108,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,372 : 196,477.46 = 78,713.90 : x
  2. Step 2: Convert to fraction form
    142,372/196,477.46 = 78,713.90/x
  3. Step 3: Cross multiply
    142,372x = 196,477.46 × 78,713.90
  4. Step 4: Simplify right side
    142,372x = 15,465,507,138.69
  5. Step 5: Solve for x
    x = 15,465,507,138.69/142,372
  6. Step 6: Final answer
    x = 108,627.45

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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.