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Finding the Fourth Proportional to 57,107.50, 78,808.62 and 31,957

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Solution

The fourth proportional to 57,107.50, 78,808.62 and 31,957 is: 44,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,107.50 : 78,808.62 = 31,957 : x
  2. Step 2: Convert to fraction form
    57,107.50/78,808.62 = 31,957/x
  3. Step 3: Cross multiply
    57,107.50x = 78,808.62 × 31,957
  4. Step 4: Simplify right side
    57,107.50x = 2,518,487,069.34
  5. Step 5: Solve for x
    x = 2,518,487,069.34/57,107.50
  6. Step 6: Final answer
    x = 44,100.81

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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.