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Finding the Fourth Proportional to 103,662.85, 155,658.30 and 78,731.05

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Solution

The fourth proportional to 103,662.85, 155,658.30 and 78,731.05 is: 118,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,662.85 : 155,658.30 = 78,731.05 : x
  2. Step 2: Convert to fraction form
    103,662.85/155,658.30 = 78,731.05/x
  3. Step 3: Cross multiply
    103,662.85x = 155,658.30 × 78,731.05
  4. Step 4: Simplify right side
    103,662.85x = 12,255,141,400.22
  5. Step 5: Solve for x
    x = 12,255,141,400.22/103,662.85
  6. Step 6: Final answer
    x = 118,221.15

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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.