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Finding the Fourth Proportional to 186,731.20, 280,096.80 and 144,740.80

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Solution

The fourth proportional to 186,731.20, 280,096.80 and 144,740.80 is: 217,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,731.20 : 280,096.80 = 144,740.80 : x
  2. Step 2: Convert to fraction form
    186,731.20/280,096.80 = 144,740.80/x
  3. Step 3: Cross multiply
    186,731.20x = 280,096.80 × 144,740.80
  4. Step 4: Simplify right side
    186,731.20x = 40,541,434,909.44
  5. Step 5: Solve for x
    x = 40,541,434,909.44/186,731.20
  6. Step 6: Final answer
    x = 217,111.20

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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.