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Finding the Fourth Proportional to 85,317, 127,920.76 and 35,431.56

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Solution

The fourth proportional to 85,317, 127,920.76 and 35,431.56 is: 53,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,317 : 127,920.76 = 35,431.56 : x
  2. Step 2: Convert to fraction form
    85,317/127,920.76 = 35,431.56/x
  3. Step 3: Cross multiply
    85,317x = 127,920.76 × 35,431.56
  4. Step 4: Simplify right side
    85,317x = 4,532,432,083.19
  5. Step 5: Solve for x
    x = 4,532,432,083.19/85,317
  6. Step 6: Final answer
    x = 53,124.61

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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.