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Finding the Fourth Proportional to 103,800.75, 155,712.06 and 47,631.30

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Solution

The fourth proportional to 103,800.75, 155,712.06 and 47,631.30 is: 71,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,800.75 : 155,712.06 = 47,631.30 : x
  2. Step 2: Convert to fraction form
    103,800.75/155,712.06 = 47,631.30/x
  3. Step 3: Cross multiply
    103,800.75x = 155,712.06 × 47,631.30
  4. Step 4: Simplify right side
    103,800.75x = 7,416,767,843.48
  5. Step 5: Solve for x
    x = 7,416,767,843.48/103,800.75
  6. Step 6: Final answer
    x = 71,451.97

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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.