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Finding the Fourth Proportional to 139,797.18, 192,903.12 and 82,432.98

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Solution

The fourth proportional to 139,797.18, 192,903.12 and 82,432.98 is: 113,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,797.18 : 192,903.12 = 82,432.98 : x
  2. Step 2: Convert to fraction form
    139,797.18/192,903.12 = 82,432.98/x
  3. Step 3: Cross multiply
    139,797.18x = 192,903.12 × 82,432.98
  4. Step 4: Simplify right side
    139,797.18x = 15,901,579,032.90
  5. Step 5: Solve for x
    x = 15,901,579,032.90/139,797.18
  6. Step 6: Final answer
    x = 113,747.49

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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.