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Finding the Fourth Proportional to 104,257.50, 156,415.05 and 30,385.50

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Solution

The fourth proportional to 104,257.50, 156,415.05 and 30,385.50 is: 45,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,257.50 : 156,415.05 = 30,385.50 : x
  2. Step 2: Convert to fraction form
    104,257.50/156,415.05 = 30,385.50/x
  3. Step 3: Cross multiply
    104,257.50x = 156,415.05 × 30,385.50
  4. Step 4: Simplify right side
    104,257.50x = 4,752,749,501.78
  5. Step 5: Solve for x
    x = 4,752,749,501.78/104,257.50
  6. Step 6: Final answer
    x = 45,586.64

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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.