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Finding the Fourth Proportional to 199,898.72, 275,892 and 114,999.20

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Solution

The fourth proportional to 199,898.72, 275,892 and 114,999.20 is: 158,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,898.72 : 275,892 = 114,999.20 : x
  2. Step 2: Convert to fraction form
    199,898.72/275,892 = 114,999.20/x
  3. Step 3: Cross multiply
    199,898.72x = 275,892 × 114,999.20
  4. Step 4: Simplify right side
    199,898.72x = 31,727,359,286.40
  5. Step 5: Solve for x
    x = 31,727,359,286.40/199,898.72
  6. Step 6: Final answer
    x = 158,717.17

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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.