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Finding the Fourth Proportional to 57,114.12, 78,817.59 and 31,622.25

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Solution

The fourth proportional to 57,114.12, 78,817.59 and 31,622.25 is: 43,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,114.12 : 78,817.59 = 31,622.25 : x
  2. Step 2: Convert to fraction form
    57,114.12/78,817.59 = 31,622.25/x
  3. Step 3: Cross multiply
    57,114.12x = 78,817.59 × 31,622.25
  4. Step 4: Simplify right side
    57,114.12x = 2,492,389,535.38
  5. Step 5: Solve for x
    x = 2,492,389,535.38/57,114.12
  6. Step 6: Final answer
    x = 43,638.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.