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Finding the Fourth Proportional to 57,283.78, 85,914.54 and 28,813.14

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Solution

The fourth proportional to 57,283.78, 85,914.54 and 28,813.14 is: 43,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,283.78 : 85,914.54 = 28,813.14 : x
  2. Step 2: Convert to fraction form
    57,283.78/85,914.54 = 28,813.14/x
  3. Step 3: Cross multiply
    57,283.78x = 85,914.54 × 28,813.14
  4. Step 4: Simplify right side
    57,283.78x = 2,475,467,955.87
  5. Step 5: Solve for x
    x = 2,475,467,955.87/57,283.78
  6. Step 6: Final answer
    x = 43,214.12

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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.