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Finding the Fourth Proportional to 85,160.70, 127,741.05 and 40,764.60

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Solution

The fourth proportional to 85,160.70, 127,741.05 and 40,764.60 is: 61,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,160.70 : 127,741.05 = 40,764.60 : x
  2. Step 2: Convert to fraction form
    85,160.70/127,741.05 = 40,764.60/x
  3. Step 3: Cross multiply
    85,160.70x = 127,741.05 × 40,764.60
  4. Step 4: Simplify right side
    85,160.70x = 5,207,312,806.83
  5. Step 5: Solve for x
    x = 5,207,312,806.83/85,160.70
  6. Step 6: Final answer
    x = 61,146.90

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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.