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Finding the Fourth Proportional to 57,155.79, 78,874.13 and 31,662.08

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Solution

The fourth proportional to 57,155.79, 78,874.13 and 31,662.08 is: 43,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,155.79 : 78,874.13 = 31,662.08 : x
  2. Step 2: Convert to fraction form
    57,155.79/78,874.13 = 31,662.08/x
  3. Step 3: Cross multiply
    57,155.79x = 78,874.13 × 31,662.08
  4. Step 4: Simplify right side
    57,155.79x = 2,497,318,619.62
  5. Step 5: Solve for x
    x = 2,497,318,619.62/57,155.79
  6. Step 6: Final answer
    x = 43,693.19

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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.