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Finding the Fourth Proportional to 127,290.17, 190,862.09 and 52,461.97

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Solution

The fourth proportional to 127,290.17, 190,862.09 and 52,461.97 is: 78,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,290.17 : 190,862.09 = 52,461.97 : x
  2. Step 2: Convert to fraction form
    127,290.17/190,862.09 = 52,461.97/x
  3. Step 3: Cross multiply
    127,290.17x = 190,862.09 × 52,461.97
  4. Step 4: Simplify right side
    127,290.17x = 10,013,000,696.98
  5. Step 5: Solve for x
    x = 10,013,000,696.98/127,290.17
  6. Step 6: Final answer
    x = 78,662.79

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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.