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Finding the Fourth Proportional to 57,283.90, 85,914.72 and 28,813.26

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Solution

The fourth proportional to 57,283.90, 85,914.72 and 28,813.26 is: 43,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,283.90 : 85,914.72 = 28,813.26 : x
  2. Step 2: Convert to fraction form
    57,283.90/85,914.72 = 28,813.26/x
  3. Step 3: Cross multiply
    57,283.90x = 85,914.72 × 28,813.26
  4. Step 4: Simplify right side
    57,283.90x = 2,475,483,165.19
  5. Step 5: Solve for x
    x = 2,475,483,165.19/57,283.90
  6. Step 6: Final answer
    x = 43,214.29

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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.