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Finding the Fourth Proportional to 104,406, 156,614.76 and 30,539.76

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Solution

The fourth proportional to 104,406, 156,614.76 and 30,539.76 is: 45,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,406 : 156,614.76 = 30,539.76 : x
  2. Step 2: Convert to fraction form
    104,406/156,614.76 = 30,539.76/x
  3. Step 3: Cross multiply
    104,406x = 156,614.76 × 30,539.76
  4. Step 4: Simplify right side
    104,406x = 4,782,977,182.86
  5. Step 5: Solve for x
    x = 4,782,977,182.86/104,406
  6. Step 6: Final answer
    x = 45,811.32

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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.