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Finding the Fourth Proportional to 137,332.73, 189,503.51 and 76,894.97

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Solution

The fourth proportional to 137,332.73, 189,503.51 and 76,894.97 is: 106,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,332.73 : 189,503.51 = 76,894.97 : x
  2. Step 2: Convert to fraction form
    137,332.73/189,503.51 = 76,894.97/x
  3. Step 3: Cross multiply
    137,332.73x = 189,503.51 × 76,894.97
  4. Step 4: Simplify right side
    137,332.73x = 14,571,866,331.87
  5. Step 5: Solve for x
    x = 14,571,866,331.87/137,332.73
  6. Step 6: Final answer
    x = 106,106.29

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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.