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Finding the Fourth Proportional to 227,982.87, 314,615.61 and 127,380.87

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Solution

The fourth proportional to 227,982.87, 314,615.61 and 127,380.87 is: 175,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,982.87 : 314,615.61 = 127,380.87 : x
  2. Step 2: Convert to fraction form
    227,982.87/314,615.61 = 127,380.87/x
  3. Step 3: Cross multiply
    227,982.87x = 314,615.61 × 127,380.87
  4. Step 4: Simplify right side
    227,982.87x = 40,076,010,117.38
  5. Step 5: Solve for x
    x = 40,076,010,117.38/227,982.87
  6. Step 6: Final answer
    x = 175,785.18

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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.