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Finding the Fourth Proportional to 115,999.71, 160,072 and 68,243.82

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Solution

The fourth proportional to 115,999.71, 160,072 and 68,243.82 is: 94,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,999.71 : 160,072 = 68,243.82 : x
  2. Step 2: Convert to fraction form
    115,999.71/160,072 = 68,243.82/x
  3. Step 3: Cross multiply
    115,999.71x = 160,072 × 68,243.82
  4. Step 4: Simplify right side
    115,999.71x = 10,923,924,755.04
  5. Step 5: Solve for x
    x = 10,923,924,755.04/115,999.71
  6. Step 6: Final answer
    x = 94,172.00

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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.