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Finding the Fourth Proportional to 139,507.40, 192,520.98 and 82,149.20

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Solution

The fourth proportional to 139,507.40, 192,520.98 and 82,149.20 is: 113,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,507.40 : 192,520.98 = 82,149.20 : x
  2. Step 2: Convert to fraction form
    139,507.40/192,520.98 = 82,149.20/x
  3. Step 3: Cross multiply
    139,507.40x = 192,520.98 × 82,149.20
  4. Step 4: Simplify right side
    139,507.40x = 15,815,444,490.22
  5. Step 5: Solve for x
    x = 15,815,444,490.22/139,507.40
  6. Step 6: Final answer
    x = 113,366.35

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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.