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Finding the Fourth Proportional to 104,081, 156,121.50 and 38,417

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Solution

The fourth proportional to 104,081, 156,121.50 and 38,417 is: 57,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,081 : 156,121.50 = 38,417 : x
  2. Step 2: Convert to fraction form
    104,081/156,121.50 = 38,417/x
  3. Step 3: Cross multiply
    104,081x = 156,121.50 × 38,417
  4. Step 4: Simplify right side
    104,081x = 5,997,719,665.50
  5. Step 5: Solve for x
    x = 5,997,719,665.50/104,081
  6. Step 6: Final answer
    x = 57,625.50

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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.