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Finding the Fourth Proportional to 139,483.32, 192,487.79 and 82,125.19

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Solution

The fourth proportional to 139,483.32, 192,487.79 and 82,125.19 is: 113,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,483.32 : 192,487.79 = 82,125.19 : x
  2. Step 2: Convert to fraction form
    139,483.32/192,487.79 = 82,125.19/x
  3. Step 3: Cross multiply
    139,483.32x = 192,487.79 × 82,125.19
  4. Step 4: Simplify right side
    139,483.32x = 15,808,096,772.35
  5. Step 5: Solve for x
    x = 15,808,096,772.35/139,483.32
  6. Step 6: Final answer
    x = 113,333.24

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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.