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Finding the Fourth Proportional to 85,576.86, 128,317.87 and 35,011.39

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Solution

The fourth proportional to 85,576.86, 128,317.87 and 35,011.39 is: 52,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,576.86 : 128,317.87 = 35,011.39 : x
  2. Step 2: Convert to fraction form
    85,576.86/128,317.87 = 35,011.39/x
  3. Step 3: Cross multiply
    85,576.86x = 128,317.87 × 35,011.39
  4. Step 4: Simplify right side
    85,576.86x = 4,492,586,990.54
  5. Step 5: Solve for x
    x = 4,492,586,990.54/85,576.86
  6. Step 6: Final answer
    x = 52,497.68

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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.