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Finding the Fourth Proportional to 227,682, 314,204.40 and 127,080

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Solution

The fourth proportional to 227,682, 314,204.40 and 127,080 is: 175,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,682 : 314,204.40 = 127,080 : x
  2. Step 2: Convert to fraction form
    227,682/314,204.40 = 127,080/x
  3. Step 3: Cross multiply
    227,682x = 314,204.40 × 127,080
  4. Step 4: Simplify right side
    227,682x = 39,929,095,152
  5. Step 5: Solve for x
    x = 39,929,095,152/227,682
  6. Step 6: Final answer
    x = 175,372.21

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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.