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Finding the Fourth Proportional to 85,126.69, 127,645.70 and 31,774.80

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Solution

The fourth proportional to 85,126.69, 127,645.70 and 31,774.80 is: 47,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,126.69 : 127,645.70 = 31,774.80 : x
  2. Step 2: Convert to fraction form
    85,126.69/127,645.70 = 31,774.80/x
  3. Step 3: Cross multiply
    85,126.69x = 127,645.70 × 31,774.80
  4. Step 4: Simplify right side
    85,126.69x = 4,055,915,791.26
  5. Step 5: Solve for x
    x = 4,055,915,791.26/85,126.69
  6. Step 6: Final answer
    x = 47,645.64

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1.5x scale

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.