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Finding the Fourth Proportional to 137,246.92, 189,401.70 and 76,823.14

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Solution

The fourth proportional to 137,246.92, 189,401.70 and 76,823.14 is: 106,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,246.92 : 189,401.70 = 76,823.14 : x
  2. Step 2: Convert to fraction form
    137,246.92/189,401.70 = 76,823.14/x
  3. Step 3: Cross multiply
    137,246.92x = 189,401.70 × 76,823.14
  4. Step 4: Simplify right side
    137,246.92x = 14,550,433,315.34
  5. Step 5: Solve for x
    x = 14,550,433,315.34/137,246.92
  6. Step 6: Final answer
    x = 106,016.47

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1.5x scale

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.