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Finding the Fourth Proportional to 139,369.32, 192,332.74 and 82,780.84

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Solution

The fourth proportional to 139,369.32, 192,332.74 and 82,780.84 is: 114,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,369.32 : 192,332.74 = 82,780.84 : x
  2. Step 2: Convert to fraction form
    139,369.32/192,332.74 = 82,780.84/x
  3. Step 3: Cross multiply
    139,369.32x = 192,332.74 × 82,780.84
  4. Step 4: Simplify right side
    139,369.32x = 15,921,465,776.70
  5. Step 5: Solve for x
    x = 15,921,465,776.70/139,369.32
  6. Step 6: Final answer
    x = 114,239.39

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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.