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Finding the Fourth Proportional to 139,731.84, 192,800.04 and 83,132.16

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Solution

The fourth proportional to 139,731.84, 192,800.04 and 83,132.16 is: 114,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,731.84 : 192,800.04 = 83,132.16 : x
  2. Step 2: Convert to fraction form
    139,731.84/192,800.04 = 83,132.16/x
  3. Step 3: Cross multiply
    139,731.84x = 192,800.04 × 83,132.16
  4. Step 4: Simplify right side
    139,731.84x = 16,027,883,773.29
  5. Step 5: Solve for x
    x = 16,027,883,773.29/139,731.84
  6. Step 6: Final answer
    x = 114,704.59

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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.