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Finding the Fourth Proportional to 137,117.28, 189,221.31 and 76,687.68

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Solution

The fourth proportional to 137,117.28, 189,221.31 and 76,687.68 is: 105,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,117.28 : 189,221.31 = 76,687.68 : x
  2. Step 2: Convert to fraction form
    137,117.28/189,221.31 = 76,687.68/x
  3. Step 3: Cross multiply
    137,117.28x = 189,221.31 × 76,687.68
  4. Step 4: Simplify right side
    137,117.28x = 14,510,943,270.46
  5. Step 5: Solve for x
    x = 14,510,943,270.46/137,117.28
  6. Step 6: Final answer
    x = 105,828.70

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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.