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Finding the Fourth Proportional to 139,702.32, 192,778.92 and 83,103.12

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Solution

The fourth proportional to 139,702.32, 192,778.92 and 83,103.12 is: 114,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,702.32 : 192,778.92 = 83,103.12 : x
  2. Step 2: Convert to fraction form
    139,702.32/192,778.92 = 83,103.12/x
  3. Step 3: Cross multiply
    139,702.32x = 192,778.92 × 83,103.12
  4. Step 4: Simplify right side
    139,702.32x = 16,020,529,722.23
  5. Step 5: Solve for x
    x = 16,020,529,722.23/139,702.32
  6. Step 6: Final answer
    x = 114,676.19

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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.