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Finding the Fourth Proportional to 137,367.84, 189,571.80 and 76,938.32

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Solution

The fourth proportional to 137,367.84, 189,571.80 and 76,938.32 is: 106,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,367.84 : 189,571.80 = 76,938.32 : x
  2. Step 2: Convert to fraction form
    137,367.84/189,571.80 = 76,938.32/x
  3. Step 3: Cross multiply
    137,367.84x = 189,571.80 × 76,938.32
  4. Step 4: Simplify right side
    137,367.84x = 14,585,335,811.38
  5. Step 5: Solve for x
    x = 14,585,335,811.38/137,367.84
  6. Step 6: Final answer
    x = 106,177.22

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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.