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Finding the Fourth Proportional to 104,611, 156,828.05 and 45,402.16

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Solution

The fourth proportional to 104,611, 156,828.05 and 45,402.16 is: 68,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,611 : 156,828.05 = 45,402.16 : x
  2. Step 2: Convert to fraction form
    104,611/156,828.05 = 45,402.16/x
  3. Step 3: Cross multiply
    104,611x = 156,828.05 × 45,402.16
  4. Step 4: Simplify right side
    104,611x = 7,120,332,218.59
  5. Step 5: Solve for x
    x = 7,120,332,218.59/104,611
  6. Step 6: Final answer
    x = 68,064.85

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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.