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Finding the Fourth Proportional to 142,765.81, 197,041.22 and 82,325.64

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Solution

The fourth proportional to 142,765.81, 197,041.22 and 82,325.64 is: 113,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,765.81 : 197,041.22 = 82,325.64 : x
  2. Step 2: Convert to fraction form
    142,765.81/197,041.22 = 82,325.64/x
  3. Step 3: Cross multiply
    142,765.81x = 197,041.22 × 82,325.64
  4. Step 4: Simplify right side
    142,765.81x = 16,221,544,542.88
  5. Step 5: Solve for x
    x = 16,221,544,542.88/142,765.81
  6. Step 6: Final answer
    x = 113,623.45

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1.5x scale

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.