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Finding the Fourth Proportional to 201,385.34, 277,911.37 and 115,372.17

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Solution

The fourth proportional to 201,385.34, 277,911.37 and 115,372.17 is: 159,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,385.34 : 277,911.37 = 115,372.17 : x
  2. Step 2: Convert to fraction form
    201,385.34/277,911.37 = 115,372.17/x
  3. Step 3: Cross multiply
    201,385.34x = 277,911.37 × 115,372.17
  4. Step 4: Simplify right side
    201,385.34x = 32,063,237,235.12
  5. Step 5: Solve for x
    x = 32,063,237,235.12/201,385.34
  6. Step 6: Final answer
    x = 159,213.36

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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.