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Finding the Fourth Proportional to 137,593.32, 189,880.71 and 83,137.93

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Solution

The fourth proportional to 137,593.32, 189,880.71 and 83,137.93 is: 114,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,593.32 : 189,880.71 = 83,137.93 : x
  2. Step 2: Convert to fraction form
    137,593.32/189,880.71 = 83,137.93/x
  3. Step 3: Cross multiply
    137,593.32x = 189,880.71 × 83,137.93
  4. Step 4: Simplify right side
    137,593.32x = 15,786,289,717.03
  5. Step 5: Solve for x
    x = 15,786,289,717.03/137,593.32
  6. Step 6: Final answer
    x = 114,731.51

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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.