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Finding the Fourth Proportional to 104,080, 156,120 and 38,416

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Solution

The fourth proportional to 104,080, 156,120 and 38,416 is: 57,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,080 : 156,120 = 38,416 : x
  2. Step 2: Convert to fraction form
    104,080/156,120 = 38,416/x
  3. Step 3: Cross multiply
    104,080x = 156,120 × 38,416
  4. Step 4: Simplify right side
    104,080x = 5,997,505,920
  5. Step 5: Solve for x
    x = 5,997,505,920/104,080
  6. Step 6: Final answer
    x = 57,624

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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.