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Finding the Fourth Proportional to 85,545, 128,324.67 and 31,524.39

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Solution

The fourth proportional to 85,545, 128,324.67 and 31,524.39 is: 47,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,545 : 128,324.67 = 31,524.39 : x
  2. Step 2: Convert to fraction form
    85,545/128,324.67 = 31,524.39/x
  3. Step 3: Cross multiply
    85,545x = 128,324.67 × 31,524.39
  4. Step 4: Simplify right side
    85,545x = 4,045,356,943.70
  5. Step 5: Solve for x
    x = 4,045,356,943.70/85,545
  6. Step 6: Final answer
    x = 47,289.23

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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.