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Finding the Fourth Proportional to 103,906.46, 155,803.79 and 53,862.50

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Solution

The fourth proportional to 103,906.46, 155,803.79 and 53,862.50 is: 80,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,906.46 : 155,803.79 = 53,862.50 : x
  2. Step 2: Convert to fraction form
    103,906.46/155,803.79 = 53,862.50/x
  3. Step 3: Cross multiply
    103,906.46x = 155,803.79 × 53,862.50
  4. Step 4: Simplify right side
    103,906.46x = 8,391,980,590.54
  5. Step 5: Solve for x
    x = 8,391,980,590.54/103,906.46
  6. Step 6: Final answer
    x = 80,764.77

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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.