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Finding the Fourth Proportional to 57,187.67, 78,922.13 and 31,693.50

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Solution

The fourth proportional to 57,187.67, 78,922.13 and 31,693.50 is: 43,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,187.67 : 78,922.13 = 31,693.50 : x
  2. Step 2: Convert to fraction form
    57,187.67/78,922.13 = 31,693.50/x
  3. Step 3: Cross multiply
    57,187.67x = 78,922.13 × 31,693.50
  4. Step 4: Simplify right side
    57,187.67x = 2,501,318,368.69
  5. Step 5: Solve for x
    x = 2,501,318,368.69/57,187.67
  6. Step 6: Final answer
    x = 43,738.77

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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.