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Finding the Fourth Proportional to 186,867.92, 280,400.30 and 81,760.70

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Solution

The fourth proportional to 186,867.92, 280,400.30 and 81,760.70 is: 122,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,867.92 : 280,400.30 = 81,760.70 : x
  2. Step 2: Convert to fraction form
    186,867.92/280,400.30 = 81,760.70/x
  3. Step 3: Cross multiply
    186,867.92x = 280,400.30 × 81,760.70
  4. Step 4: Simplify right side
    186,867.92x = 22,925,724,808.21
  5. Step 5: Solve for x
    x = 22,925,724,808.21/186,867.92
  6. Step 6: Final answer
    x = 122,684.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.