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Finding the Fourth Proportional to 104,709.78, 156,971.70 and 38,137.50

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Solution

The fourth proportional to 104,709.78, 156,971.70 and 38,137.50 is: 57,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,709.78 : 156,971.70 = 38,137.50 : x
  2. Step 2: Convert to fraction form
    104,709.78/156,971.70 = 38,137.50/x
  3. Step 3: Cross multiply
    104,709.78x = 156,971.70 × 38,137.50
  4. Step 4: Simplify right side
    104,709.78x = 5,986,508,208.75
  5. Step 5: Solve for x
    x = 5,986,508,208.75/104,709.78
  6. Step 6: Final answer
    x = 57,172.39

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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.