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Finding the Fourth Proportional to 85,537.50, 128,306.70 and 23,208

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Solution

The fourth proportional to 85,537.50, 128,306.70 and 23,208 is: 34,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,537.50 : 128,306.70 = 23,208 : x
  2. Step 2: Convert to fraction form
    85,537.50/128,306.70 = 23,208/x
  3. Step 3: Cross multiply
    85,537.50x = 128,306.70 × 23,208
  4. Step 4: Simplify right side
    85,537.50x = 2,977,741,893.60
  5. Step 5: Solve for x
    x = 2,977,741,893.60/85,537.50
  6. Step 6: Final answer
    x = 34,812.12

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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.