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Finding the Fourth Proportional to 206,506.36, 284,981.34 and 115,881.76

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Solution

The fourth proportional to 206,506.36, 284,981.34 and 115,881.76 is: 159,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,506.36 : 284,981.34 = 115,881.76 : x
  2. Step 2: Convert to fraction form
    206,506.36/284,981.34 = 115,881.76/x
  3. Step 3: Cross multiply
    206,506.36x = 284,981.34 × 115,881.76
  4. Step 4: Simplify right side
    206,506.36x = 33,024,139,246.36
  5. Step 5: Solve for x
    x = 33,024,139,246.36/206,506.36
  6. Step 6: Final answer
    x = 159,918.27

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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.