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Finding the Fourth Proportional to 149,125.46, 205,801.65 and 85,473.86

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Solution

The fourth proportional to 149,125.46, 205,801.65 and 85,473.86 is: 117,958.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,125.46 : 205,801.65 = 85,473.86 : x
  2. Step 2: Convert to fraction form
    149,125.46/205,801.65 = 85,473.86/x
  3. Step 3: Cross multiply
    149,125.46x = 205,801.65 × 85,473.86
  4. Step 4: Simplify right side
    149,125.46x = 17,590,661,419.87
  5. Step 5: Solve for x
    x = 17,590,661,419.87/149,125.46
  6. Step 6: Final answer
    x = 117,958.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.