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Finding the Fourth Proportional to 103,646.39, 155,469.59 and 57,194.51

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Solution

The fourth proportional to 103,646.39, 155,469.59 and 57,194.51 is: 85,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,646.39 : 155,469.59 = 57,194.51 : x
  2. Step 2: Convert to fraction form
    103,646.39/155,469.59 = 57,194.51/x
  3. Step 3: Cross multiply
    103,646.39x = 155,469.59 × 57,194.51
  4. Step 4: Simplify right side
    103,646.39x = 8,892,006,733.98
  5. Step 5: Solve for x
    x = 8,892,006,733.98/103,646.39
  6. Step 6: Final answer
    x = 85,791.77

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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.