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Finding the Fourth Proportional to 103,830.59, 155,636.54 and 53,857.64

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Solution

The fourth proportional to 103,830.59, 155,636.54 and 53,857.64 is: 80,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,830.59 : 155,636.54 = 53,857.64 : x
  2. Step 2: Convert to fraction form
    103,830.59/155,636.54 = 53,857.64/x
  3. Step 3: Cross multiply
    103,830.59x = 155,636.54 × 53,857.64
  4. Step 4: Simplify right side
    103,830.59x = 8,382,217,063.93
  5. Step 5: Solve for x
    x = 8,382,217,063.93/103,830.59
  6. Step 6: Final answer
    x = 80,729.74

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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.