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Finding the Fourth Proportional to 104,151, 156,253.14 and 30,279

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Solution

The fourth proportional to 104,151, 156,253.14 and 30,279 is: 45,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,151 : 156,253.14 = 30,279 : x
  2. Step 2: Convert to fraction form
    104,151/156,253.14 = 30,279/x
  3. Step 3: Cross multiply
    104,151x = 156,253.14 × 30,279
  4. Step 4: Simplify right side
    104,151x = 4,731,188,826.06
  5. Step 5: Solve for x
    x = 4,731,188,826.06/104,151
  6. Step 6: Final answer
    x = 45,426.24

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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.